উচ্চতর গণিত – ১ম পত্র

একাদশ- দ্বাদশ শ্রেণি- উচ্চতর গণিত - উচ্চতর গণিত – ১ম পত্র - | NCTB BOOK
টপ রেটেড অ্যাপ

স্যাট অ্যাকাডেমী অ্যাপ

আমাদের অল-ইন-ওয়ান মোবাইল অ্যাপের মাধ্যমে সীমাহীন শেখার সুযোগ উপভোগ করুন।

ভিডিও
লাইভ ক্লাস
এক্সাম
ডাউনলোড করুন
Promotion
Request history8.2.27PHP Version78.11msRequest Duration9MBMemory UsageGET academy/{slug}Route
    • Booting (33.83ms)time
    • Application (44.27ms)time
    • 1 x Application (56.67%)
      44.27ms
      1 x Booting (43.32%)
      33.83ms
      42 templates were rendered
      • academy.subject.chapterchapter.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • academy.subject.subChapterListsubChapterList.blade.php#?blade
      • common.modal.self_test_modalself_test_modal.blade.php#?blade
      • common.modal.bookmark_modalbookmark_modal.blade.php#?blade
      • common.script.activity_scriptactivity_script.blade.php#?blade
      • common.script.test_scripttest_script.blade.php#?blade
      • common.script.custom_dropdowncustom_dropdown.blade.php#?blade
      • common.script.navigator_sharenavigator_share.blade.php#?blade
      • layouts.satt-appsatt-app.blade.php#?blade
      • includes.header_link2header_link2.blade.php#?blade
      • laravelpwa::metameta.blade.php#?blade
      • layouts.headerheader.blade.php#?blade
      • layouts.toolbartoolbar.blade.php#?blade
      • frontend.downloadourappdownloadourapp.blade.php#?blade
      • frontend.referralreferral.blade.php#?blade
      • auth.user_type_modaluser_type_modal.blade.php#?blade
      • layouts.footerfooter.blade.php#?blade
      • common.login_modallogin_modal.blade.php#?blade
      • components.authentication-card-logoauthentication-card-logo.blade.php#?blade
      • common.includes.promotion_modalpromotion_modal.blade.php#?blade
      • common.includes.notification_item_modalnotification_item_modal.blade.php#?blade
      • common.includes.notification_item_list_modalnotification_item_list_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/{slug}
      middleware
      web, throttle:global
      controller
      App\Http\Controllers\Academy\SubjectController@chapter
      namespace
      prefix
      where
      as
      academy.subject.chapter
      file
      app/Http/Controllers/Academy/SubjectController.php:102-110
      16 statements were executed (2 duplicates)Show only duplicates12.05ms
      • SubjectRepository.php#89debugerror_satt180μsselect `id`, `main_category_id`, `parent_id`, `show_content` from `subjects` where `slug` = 'উচ্চতর-গণিত-১ম-পত্র' and `subjects`.`deleted_at` is null limit 1
        Bindings
        • 0: উচ্চতর-গণিত-১ম-পত্র
        Backtrace
        • app/Repositories/SubjectRepository.php:89
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:86
        • app/Services/SubjectService.php:23
      • SubjectService.php#34debugerror_satt480μsupdate `subjects` set `view_count` = `view_count` + 1, `subjects`.`updated_at` = '2025-03-12 02:16:44' where `id` = 2117
        Bindings
        • 0: 2025-03-12 02:16:44
        • 1: 2117
        Backtrace
        • app/Services/SubjectService.php:34
        • app/Http/Controllers/Academy/SubjectController.php:105
        • vendor/laravel/framework/src/Illuminate/Routing/Controller.php:54
        • vendor/laravel/framework/src/Illuminate/Routing/ControllerDispatcher.php:44
        • vendor/laravel/framework/src/Illuminate/Routing/Route.php:266
      • QueryBuilder.php#38debugerror_satt120μsselect `_lft`, `_rgt` from `subjects` where `id` = 2117 limit 1
        Bindings
        • 0: 2117
        Backtrace
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:38
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:60
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:235
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:227
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:305
      • QueryBuilder.php#305debugerror_satt430μsselect `id`, `name`, `parent_id`, `_lft`, `_rgt`, `show_content`, `num_of_mcq`, `num_of_written`, `des_added_by`, `des_updated_by`, `author_name`, `link_subject_id`, `sub_category_id`, `main_category_id`, `slug`, `meta_og_title`, `meta_keyword`, `meta_description`, `vote`, `view_count`, `icon`, `page_type`, `chapter_name` from `subjects` where (`subjects`.`_lft` between 14306 and 14463) and `subjects`.`deleted_at` is null
        Bindings
        • 0: 14306
        • 1: 14463
        Backtrace
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:305
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:321
        • app/Repositories/SubjectRepository.php:280
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • SubjectRepository.php#117debugerror_satt210μsselect * from `subjects` where `subjects`.`id` = 2117 and `subjects`.`deleted_at` is null limit 1
        Bindings
        • 0: 2117
        Backtrace
        • app/Repositories/SubjectRepository.php:117
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:116
        • app/Services/SubjectService.php:51
      • SubjectRepository.php#120debugerror_satt8.92msselect `id`, `name`, `slug`, `parent_id`, `_lft`, `_rgt` from `subjects` where (14463 between `subjects`.`_lft` and `subjects`.`_rgt` and `subjects`.`id` <> 2117) and `subjects`.`deleted_at` is null order by `_lft` asc
        Bindings
        • 0: 14463
        • 1: 2117
        Backtrace
        • app/Repositories/SubjectRepository.php:120
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:116
        • app/Services/SubjectService.php:51
      • SubjectRepository.php#132debugerror_satt190μsselect * from `subjects` where `subjects`.`id` = 2117 and `subjects`.`deleted_at` is null limit 1
        Bindings
        • 0: 2117
        Backtrace
        • app/Repositories/SubjectRepository.php:132
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:131
        • app/Services/SubjectService.php:52
      • SubjectRepository.php#135debugerror_satt150μsselect `id`, `name`, `parent_id`, `_lft`, `_rgt`, `slug`, `meta_og_title`, `meta_keyword`, `meta_description` from `subjects` where `subjects`.`id` = 74 and `subjects`.`deleted_at` is null limit 1
        Bindings
        • 0: 74
        Backtrace
        • app/Repositories/SubjectRepository.php:135
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:131
        • app/Services/SubjectService.php:52
      • SubjectRepository.php#135debugerror_satt140μsselect `id`, `description`, `subject_id` from `subject_descriptions` where `subject_descriptions`.`subject_id` in (74) and `subject_descriptions`.`deleted_at` is null
        Backtrace
        • app/Repositories/SubjectRepository.php:135
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:131
        • app/Services/SubjectService.php:52
      • QueryBuilder.php#38debugerror_satt130μsselect `_lft`, `_rgt` from `subjects` where `id` = 74 limit 1
        Bindings
        • 0: 74
        Backtrace
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:38
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:60
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:235
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:227
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:305
      • QueryBuilder.php#305debugerror_satt360μsselect `id`, `name`, `parent_id`, `_lft`, `_rgt`, `name`, `slug`, `icon`, `banner` from `subjects` where (`subjects`.`_lft` between 14305 and 14534) and `subjects`.`deleted_at` is null
        Bindings
        • 0: 14305
        • 1: 14534
        Backtrace
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:305
        • vendor/kalnoy/nestedset/src/QueryBuilder.php:321
        • app/Repositories/SubjectRepository.php:288
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
      • SubjectRepository.php#312debugerror_satt140μsselect `id`, `name`, `slug`, `main_category_id`, `num_of_written`, `num_of_mcq` from `subjects` where `parent_id` is null and `sub_category_id` = 4878 and `subjects`.`deleted_at` is null limit 10
        Bindings
        • 0: 4878
        Backtrace
        • app/Repositories/SubjectRepository.php:312
        • vendor/laravel/framework/src/Illuminate/Cache/Repository.php:427
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/Repositories/SubjectRepository.php:299
        • app/Services/SubjectService.php:56
      • chapter.blade.php#10debugerror_satt170μsselect * from `subject_descriptions` where `subject_descriptions`.`subject_id` = 2117 and `subject_descriptions`.`subject_id` is not null and `subject_descriptions`.`deleted_at` is null limit 1
        Bindings
        • 0: 2117
        Backtrace
        • view::academy.subject.chapter:10
        • 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
      • helpers.php#89debugerror_satt140μsselect `id`, `name`, `meta_og_image` from `sub_categories` where `id` = 4878 and `sub_categories`.`deleted_at` is null limit 1
        Bindings
        • 0: 4878
        Backtrace
        • app/helpers.php:89
        • vendor/laravel/framework/src/Illuminate/Cache/CacheManager.php:453
        • app/helpers.php:88
        • vendor/laravel/framework/src/Illuminate/Filesystem/Filesystem.php:124
        • vendor/laravel/framework/src/Illuminate/View/Engines/PhpEngine.php:58
      • chapter.blade.php#325debugerror_satt150μsselect * from `completes` where `completes`.`completeable_type` = 'App\\Models\\Subject' and `completes`.`completeable_id` = 2117 and `completes`.`completeable_id` is not null limit 1
        Bindings
        • 0: App\Models\Subject
        • 1: 2117
        Backtrace
        • view::academy.subject.chapter:325
        • 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
      • restrict.blade.php#30debugerror_satt140μsselect * from `package_plans` where `status` = 'active' and `package_plans`.`deleted_at` is null
        Bindings
        • 0: active
        Backtrace
        • view::includes.restrict:30
        • 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
      209Subject.php#?
      App\Models\PackagePlan
      4PackagePlan.php#?
      App\Models\SubjectDescription
      2SubjectDescription.php#?
      App\Models\SubCategory
      1SubCategory.php#?
          _token
          EyClgeah1ILelp6ySIx4xKvQPHiFvqOJ0DLaObfJ
          _previous
          array:1 [ "url" => "https://debugerror.xyz/academy/%E0%A6%89%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%A4%E...
          _flash
          array:2 [ "old" => [] "new" => [] ]
          path_info
          /academy/%E0%A6%89%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%A4%E0%A6%B0-%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4-%E0%A7%A7%E0%A6%AE-%E0%A6%AA%E0%A6%A4%E0%A7%8D%E0%A6%B0
          status_code
          200
          
          status_text
          OK
          format
          html
          content_type
          text/html; charset=UTF-8
          request_query
          []
          
          request_request
          []
          
          request_headers
          0 of 0
          array:20 [ "x-https" => array:1 [ 0 => "1" ] "sec-fetch-dest" => array:1 [ 0 => "document" ] "sec-fetch-user" => array:1 [ 0 => "?1" ] "sec-fetch-mode" => array:1 [ 0 => "navigate" ] "sec-fetch-site" => array:1 [ 0 => "none" ] "accept" => array:1 [ 0 => "text/html,application/xhtml+xml,application/xml;q=0.9,image/avif,image/webp,image/apng,*/*;q=0.8,application/signed-exchange;v=b3;q=0.7" ] "user-agent" => array:1 [ 0 => "Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)" ] "upgrade-insecure-requests" => array:1 [ 0 => "1" ] "sec-ch-ua-platform" => array:1 [ 0 => ""Windows"" ] "sec-ch-ua-mobile" => array:1 [ 0 => "?0" ] "sec-ch-ua" => array:1 [ 0 => ""HeadlessChrome";v="129", "Not=A?Brand";v="8", "Chromium";v="129"" ] "cache-control" => array:1 [ 0 => "no-cache" ] "pragma" => array:1 [ 0 => "no-cache" ] "x-real-ip" => array:1 [ 0 => "13.58.74.190" ] "x-forwarded-server" => array:1 [ 0 => "debugerror.xyz" ] "x-forwarded-proto" => array:1 [ 0 => "https" ] "x-forwarded-port" => array:1 [ 0 => "443" ] "x-forwarded-host" => array:1 [ 0 => "debugerror.xyz" ] "x-forwarded-for" => array:1 [ 0 => "13.58.74.190" ] "host" => array:1 [ 0 => "debugerror.xyz" ] ]
          request_cookies
          []
          
          response_headers
          0 of 0
          array:7 [ "content-type" => array:1 [ 0 => "text/html; charset=UTF-8" ] "cache-control" => array:1 [ 0 => "no-cache, private" ] "date" => array:1 [ 0 => "Tue, 11 Mar 2025 20:16:44 GMT" ] "x-ratelimit-limit" => array:1 [ 0 => "60" ] "x-ratelimit-remaining" => array:1 [ 0 => "59" ] "set-cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImxsK3FvWWhwUldhZmdZMlFjYVpQQ1E9PSIsInZhbHVlIjoiYy9MUDd3TXV5SzA4K2lNZlAxVnNNR1Q5WHdVb2JzWmlZV2pIWTBmd001QnpQZktzOFFEZXYxS3NFSnJhUFd4SFU2THhHTEloZGczZm5FNkZrOGE0N2pDMkNIVkVBWUorT0NJT09wSXREMGo1eXQyV1ZHQzByZGJQQi96VmpwZXQiLCJtYWMiOiI3NGRmNTViMjQxNjhlZDYzNzFiODcxZjIxMzEwYjg2NzlhZmNmZDRiZDUzMGYzZGNjMDJlMDhiMjI5Yjg1MjQwIiwidGFnIjoiIn0%3D; expires=Wed, 12 Mar 2025 20:16:44 GMT; Max-Age=86400; path=/; secureXSRF-TOKEN=eyJpdiI6ImxsK3FvWWhwUldhZmdZMlFjYVpQQ1E9PSIsInZhbHVlIjoiYy9MUDd3TXV5SzA4K2lNZlAxVnNNR1Q5WHdVb2JzWmlZV2pIWTBmd001QnpQZktzOFFEZXYxS3NFSnJhUFd4SFU2THhHT" 1 => "satt_academy_session=eyJpdiI6IkI4UkR3U3dML1hOY3o0K2ZCR2VyREE9PSIsInZhbHVlIjoiNUsyWHFTMUIrT1c0NmlpTWl2WXJOMlE1VWlla0FoZXNFYTAraEs3WVoyT241MEY4endxK3UwMTNmTTM5QnVaTGhLRmlUditXWkVVVk5RQmNaRTh4dEpPZzJVRDlRWGZTUFlKUUNnSU84SmRmUjBoT0NveDBIeGdxNnlMbXJCbW4iLCJtYWMiOiIxNmI4OWYyNTZlMzBmOTI0ZTM1NjZiNzQzN2NkM2FhYjA4MTMwZjkwMjk2NGFiNTliOGEwNjZiMzc1MTE2ZDVlIiwidGFnIjoiIn0%3D; expires=Wed, 12 Mar 2025 20:16:44 GMT; Max-Age=86400; path=/; secure; httponlysatt_academy_session=eyJpdiI6IkI4UkR3U3dML1hOY3o0K2ZCR2VyREE9PSIsInZhbHVlIjoiNUsyWHFTMUIrT1c0NmlpTWl2WXJOMlE1VWlla0FoZXNFYTAraEs3WVoyT241MEY4endxK3UwMTNmTTM5QnV" ] "Set-Cookie" => array:2 [ 0 => "XSRF-TOKEN=eyJpdiI6ImxsK3FvWWhwUldhZmdZMlFjYVpQQ1E9PSIsInZhbHVlIjoiYy9MUDd3TXV5SzA4K2lNZlAxVnNNR1Q5WHdVb2JzWmlZV2pIWTBmd001QnpQZktzOFFEZXYxS3NFSnJhUFd4SFU2THhHTEloZGczZm5FNkZrOGE0N2pDMkNIVkVBWUorT0NJT09wSXREMGo1eXQyV1ZHQzByZGJQQi96VmpwZXQiLCJtYWMiOiI3NGRmNTViMjQxNjhlZDYzNzFiODcxZjIxMzEwYjg2NzlhZmNmZDRiZDUzMGYzZGNjMDJlMDhiMjI5Yjg1MjQwIiwidGFnIjoiIn0%3D; expires=Wed, 12-Mar-2025 20:16:44 GMT; path=/; secureXSRF-TOKEN=eyJpdiI6ImxsK3FvWWhwUldhZmdZMlFjYVpQQ1E9PSIsInZhbHVlIjoiYy9MUDd3TXV5SzA4K2lNZlAxVnNNR1Q5WHdVb2JzWmlZV2pIWTBmd001QnpQZktzOFFEZXYxS3NFSnJhUFd4SFU2THhHT" 1 => "satt_academy_session=eyJpdiI6IkI4UkR3U3dML1hOY3o0K2ZCR2VyREE9PSIsInZhbHVlIjoiNUsyWHFTMUIrT1c0NmlpTWl2WXJOMlE1VWlla0FoZXNFYTAraEs3WVoyT241MEY4endxK3UwMTNmTTM5QnVaTGhLRmlUditXWkVVVk5RQmNaRTh4dEpPZzJVRDlRWGZTUFlKUUNnSU84SmRmUjBoT0NveDBIeGdxNnlMbXJCbW4iLCJtYWMiOiIxNmI4OWYyNTZlMzBmOTI0ZTM1NjZiNzQzN2NkM2FhYjA4MTMwZjkwMjk2NGFiNTliOGEwNjZiMzc1MTE2ZDVlIiwidGFnIjoiIn0%3D; expires=Wed, 12-Mar-2025 20:16:44 GMT; path=/; secure; httponlysatt_academy_session=eyJpdiI6IkI4UkR3U3dML1hOY3o0K2ZCR2VyREE9PSIsInZhbHVlIjoiNUsyWHFTMUIrT1c0NmlpTWl2WXJOMlE1VWlla0FoZXNFYTAraEs3WVoyT241MEY4endxK3UwMTNmTTM5QnV" ] ]
          session_attributes
          0 of 0
          array:3 [ "_token" => "EyClgeah1ILelp6ySIx4xKvQPHiFvqOJ0DLaObfJ" "_previous" => array:1 [ "url" => "https://debugerror.xyz/academy/%E0%A6%89%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%A4%E0%A6%B0-%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4-%E0%A7%A7%E0%A6%AE-%E0%A6%AA%E0%A6%A4%E0%A7%8D%E0%A6%B0https://debugerror.xyz/academy/%E0%A6%89%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%A4%E0%A6%B0-%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4-%E0%A7%A7%E0%A6%AE-%E0%A6%AA%E0%A6%A4" ] "_flash" => array:2 [ "old" => [] "new" => [] ] ]
          ClearShow all
          Date ↕MethodURLData
          #12025-03-12 02:16:44GET/academy/%E0%A6%89%E0%A6%9A%E0%A7%8D%E0%A6%9A%E0%A6%A4%E0%A6%B0-%E0%A6%97%E0%A6%A3%E0%A6%BF%E0%A6%A4-%E0%A7%A7%E0%A6%AE-%E0%A6%AA%E0%A6%A4%E0%A7%8D%E0%A6%B04216216