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নিচের উদ্দীপকের আলোকে প্রশ্নের উত্তর দাও:

x-y-5 = 0 রেখাটি (3,2) কেন্দ্রবিশিষ্ট বৃত্তের একটি স্পর্শক।

বৃত্তটি কর্তৃক x অক্ষের ছেদাংশের পরিমাণ কত?

Created: 10 months ago | Updated: 3 months ago
Updated: 3 months ago
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Request history8.2.27PHP Version60.01msRequest Duration9MBMemory UsageGET academy/single-questionRoute
    • Booting (25.72ms)time
    • Application (34.28ms)time
    • 1 x Application (57.13%)
      34.28ms
      1 x Booting (42.87%)
      25.72ms
      33 templates were rendered
      • questions.mcq.single_questionsingle_question.blade.php#?blade
      • questions.include.show_timeshow_time.blade.php#?blade
      • questions.mode.readingreading.blade.php#?blade
      • questions.include.activity_layoutactivity_layout.blade.php#?blade
      • questions.mcq.sidebarsidebar.blade.php#?blade
      • common.modal.bookmark_modalbookmark_modal.blade.php#?blade
      • common.modal.tag_add_modaltag_add_modal.blade.php#?blade
      • common.modal.add_description_modaladd_description_modal.blade.php#?blade
      • common.modal.video_modalvideo_modal.blade.php#?blade
      • common.modal.edit_description_modaledit_description_modal.blade.php#?blade
      • common.modal.error_report_modalerror_report_modal.blade.php#?blade
      • job.job_include.job_scriptjob_script.blade.php#?blade
      • common.script.activity_scriptactivity_script.blade.php#?blade
      • common.script.navigator_sharenavigator_share.blade.php#?blade
      • common.script.follow_unfollow_scriptfollow_unfollow_script.blade.php#?blade
      • common.script.short_statistics_scriptshort_statistics_script.blade.php#?blade
      • layouts.single-question-appsingle-question-app.blade.php#?blade
      • includes.single_header_linksingle_header_link.blade.php#?blade
      • common.login_modallogin_modal.blade.php#?blade
      • components.authentication-card-logoauthentication-card-logo.blade.php#?blade
      • layouts.headerheader.blade.php#?blade
      • layouts.toolbartoolbar.blade.php#?blade
      • layouts.footerfooter.blade.php#?blade
      • common.includes.promotion_modalpromotion_modal.blade.php#?blade
      • common.includes.promotion_offcanvaspromotion_offcanvas.blade.php#?blade
      • includes.footer_link2footer_link2.blade.php#?blade
      • includes.restrictrestrict.blade.php#?blade
      • livewire-alert::components.scriptsscripts.blade.php#?blade
      • livewire-alert::components.flashflash.blade.php#?blade
      • admin.include.toastrtoastr.blade.php#?blade
      • common.search.search_scriptsearch_script.blade.php#?blade
      • common.script.promotion_scriptpromotion_script.blade.php#?blade
      • common.script.promotion_functionspromotion_functions.blade.php#?blade
      uri
      GET academy/single-question
      middleware
      web, throttle:global
      controller
      App\Http\Controllers\Academy\QuestionController@singleMcq
      namespace
      prefix
      where
      as
      academy.single-question
      file
      app/Http/Controllers/Academy/QuestionController.php:62-98
      27 statements were executed5.5ms
      • QuestionController.php#150debugerror_satt180μsselect `id`, `view_count`, `main_category_id` from `questions` where `questions`.`id` = '446411' and `questions`.`deleted_at` is null limit 1
        Bindings
        • 0: 446411
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:150
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:145
        • app/Http/Controllers/Academy/QuestionController.php:66
      • QuestionController.php#190debugerror_satt430μsupdate `questions` set `view_count` = `view_count` + 1 where `id` = 446411
        Bindings
        • 0: 446411
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:190
        • vendor/laravel/framework/src/Illuminate/Cache/Lock.php:95
        • app/Http/Controllers/Academy/QuestionController.php:187
        • app/Http/Controllers/Academy/QuestionController.php:79
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
      • QuestionController.php#256debugerror_satt280μsselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `meta_og_image`, `meta_og_title`, `meta_keyword`, `created_at`, `updated_at`, exists(select * from `review_contents` where `questions`.`id` = `review_contents`.`reviewable_id` and `review_contents`.`reviewable_type` = 'App\\Models\\Question') as `review_content_exists` from `questions` where `id` = '446411' and `questions`.`deleted_at` is null limit 1
        Bindings
        • 0: App\Models\Question
        • 1: 446411
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt160μsselect `id`, `question_id`, `option_1`, `option_2`, `option_3`, `option_4`, `option_5`, `image_option`, `image_question`, `answer` from `question_options` where `question_options`.`question_id` in (446411) and `question_options`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt130μsselect `id`, `title`, `passage` from `passages` where `passages`.`id` in (10497) and `passages`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt110μsselect `id`, `name`, `slug`, `meta_og_image` from `sub_categories` where `sub_categories`.`id` in (4878) and `sub_categories`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt110μsselect `id`, `name`, `des_updated_by`, `des_added_by`, `link_subject_id`, `slug` from `subjects` where `subjects`.`id` in (74) and `subjects`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt130μsselect `id`, `description`, `subject_id` from `subject_descriptions` where `subject_descriptions`.`subject_id` in (74) and `subject_descriptions`.`deleted_at` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt180μsselect `subjects`.`id`, `subjects`.`name`, `subjects`.`slug`, `subjectables`.`subjectable_id` as `pivot_subjectable_id`, `subjectables`.`subject_id` as `pivot_subject_id`, `subjectables`.`subjectable_type` as `pivot_subjectable_type`, `subjectables`.`created_user_id` as `pivot_created_user_id`, `subjectables`.`deleted_at` as `pivot_deleted_at`, `subjectables`.`status` as `pivot_status`, `subjectables`.`created_at` as `pivot_created_at`, `subjectables`.`updated_at` as `pivot_updated_at` from `subjects` inner join `subjectables` on `subjects`.`id` = `subjectables`.`subject_id` where `subjectables`.`subjectable_id` in (446411) and `subjectables`.`subjectable_type` = 'App\\Models\\Question' and `subjects`.`deleted_at` is null
        Bindings
        • 0: App\Models\Question
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt180μsselect * from `vote_statistics` where `vote_statistics`.`question_id` in (446411)
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt250μsselect * from `descriptions` where `descriptions`.`descriptionable_id` in (446411) and `descriptions`.`descriptionable_type` = 'App\\Models\\Question' and `status` in ('approve', 'active') and `descriptions`.`deleted_at` is null order by `vote` desc
        Bindings
        • 0: App\Models\Question
        • 1: approve
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt150μsselect `id`, `bookmarkable_id`, `bookmarkable_type`, `user_id` from `bookmarks` where `bookmarks`.`bookmarkable_id` in (446411) and `bookmarks`.`bookmarkable_type` = 'App\\Models\\Question' and `user_id` is null
        Bindings
        • 0: App\Models\Question
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt170μsselect `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (446411) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
        Bindings
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • QuestionController.php#256debugerror_satt130μsselect `id`, `question_id`, `user_id`, `choosen_option` from `vote_logs` where `vote_logs`.`question_id` in (446411) and `user_id` is null
        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:256
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:208
        • app/Http/Controllers/Academy/QuestionController.php:82
      • DynamicPrintService.php#99debugerror_satt450μsselect `subjectable_id` from `subjectables` where `subjectable_type` = 'App\\Models\\Question' and `subject_id` in (2122)
        Bindings
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        Backtrace
        • app/Services/DynamicPrintService.php:99
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        • app/Services/DynamicPrintService.php:96
        • app/Http/Controllers/Academy/QuestionController.php:409
      • QuestionController.php#451debugerror_satt1.08msselect `id`, `view_count`, `vote`, `subject_id`, `category_id`, `sub_category_id`, `board_exam_id`, `passage_id`, `question_type`, `question`, `is_duplicate`, `status`, `image`, `created_at`, `updated_at` from `questions` where `id` in (208291, 236456, 183998, 110776, 231379, 235460, 99608, 236641, 183982, 192217, 206644, 184819, 181593, 181366, 244355, 245988, 244354, 246180, 254375, 120739, 233042, 184703, 182495, 206862, 85481, 110211, 198744, 85463, 169584, 181075, 85511, 192327, 122362, 145290, 183538, 235695, 131298, 192236, 102438, 89754, 99243, 221983, 206061, 128863, 200233, 120914, 210166, 99158, 191907, 181974, 89280, 207338, 110471, 110533, 120648, 231531, 95229, 255977, 445868, 445869, 445870, 445871, 445872, 445873, 445874, 445875, 445876, 445877, 445878, 445879, 445880, 445881, 445882, 445883, 445884, 445885, 445886, 445887, 445888, 445889, 445890, 445891, 445892, 445893, 445894, 445895, 445896, 445897, 445898, 445899, 445900, 445901, 445902, 445903, 445904, 445905, 445906, 445907, 445908, 445909, 445910, 445911, 445912, 445913, 445914, 445915, 445916, 445917, 445918, 445919, 445920, 445921, 445922, 445923, 445924, 445925, 445926, 445927, 445928, 445929, 445931, 445930, 445932, 445933, 445934, 445935, 445936, 445937, 445938, 445939, 445940, 445941, 445942, 445943, 445944, 445945, 445946, 445947, 445948, 445949, 445950, 445951, 445952, 445953, 445954, 445955, 445956, 445957, 445958, 445959, 445960, 445961, 445962, 445963, 445964, 445965, 445966, 445967, 445968, 445969, 445970, 445971, 445972, 445973, 445974, 445975, 445976, 445977, 445978, 445979, 445980, 445981, 445982, 445983, 445984, 445985, 445986, 445987, 445988, 445989, 445990, 445991, 445992, 445993, 445994, 445995, 445996, 445997, 445998, 445999, 446000, 446001, 446002, 446003, 446004, 446005, 446006, 446007, 446008, 446009, 446010, 446011, 446012, 446013, 446014, 446015, 446016, 446017, 446018, 446019, 446020, 446021, 446022, 446023, 446024, 446025, 446026, 446027, 446029, 446028, 446030, 446031, 446032, 446033, 446034, 446035, 446036, 446037, 446038, 446039, 446040, 446041, 446042, 446043, 446044, 446045, 446046, 446047, 446048, 446049, 446050, 446051, 446052, 446053, 446054, 446055, 446056, 446057, 446058, 446059, 446060, 446061, 446392, 446393, 446394, 446395, 446396, 446397, 446398, 446399, 446400, 446401, 446402, 446403, 446404, 446405, 446406, 446407, 446408, 446409, 446410, 446411) and `id` != 446411 and `questions`.`deleted_at` is null order by `created_at` desc limit 6
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
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        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
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        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
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        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Bindings
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
      • QuestionController.php#451debugerror_satt80μsselect `id`, `votable_id`, `votable_type`, `user_id` from `votes` where `votes`.`votable_id` in (446405, 446406, 446407, 446408, 446409, 446410) and `votes`.`votable_type` = 'App\\Models\\Question' and `user_id` is null
        Bindings
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
        • app/Http/Controllers/Academy/QuestionController.php:451
        • app/Http/Controllers/Academy/QuestionController.php:411
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Http/Controllers/Academy/QuestionController.php:402
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        Backtrace
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        • vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:75
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        Backtrace
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        • vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
        • vendor/livewire/livewire/src/Mechanisms/ExtendBlade/ExtendedCompilerEngine.php:22
        • vendor/laravel/framework/src/Illuminate/View/Engines/CompilerEngine.php:75
      App\Models\Subject
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      App\Models\Question
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      App\Models\QuestionOption
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      App\Models\PackagePlan
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      App\Models\SubCategory
      2SubCategory.php#?
      App\Models\Category
      2Category.php#?
      App\Models\Passage
      1Passage.php#?
      App\Models\SubjectDescription
      1SubjectDescription.php#?
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