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মূলবিন্দু হতে xsecθ-ycosecθ=kএবং xcoxθ-ysinθ=kcos2θরেখাদ্বয়ের লম্ব দূরত্ব যথাক্রমে 2cm এবং 3cm । k এর মান নির্ণয় কর।

Created: 1 year ago | Updated: 1 year ago
Updated: 1 year ago

k√sec2θ+cosec2θ=2 

⇒k2sin2cos2θsin2θ+cos2θ=4

⇒4k2sin2θ cos2θ = 16 ⇒ksin2θ2=42 ... ... ... (i)

-kcos2θcos2θ+sin2θ=3⇒(kcos2θ)2=32... ... ... (ii)

(i) + (ii) করে পাই, k2(sin22θ+cos22θ)=25 ⇒k =±5

1 year ago
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1+31!+52!+73!..... ধারাটির যোগফল বের কর। (Find the sum of the series 1+31!+52!+73!.....)

1+31!+52!+73!..... এবং y = 6 রেখা দ্বারা গঠিত বর্গক্ষেত্রের কর্ণদ্বয়ের সমীকরণ বের কর।(Find the equations of the diagonals of the square formed by the lines x = 3, x= 4, y = 4 and y = 6)

সমাধান কর: sinθ+sin2θ+sin3θ=1+cosθ+cos2θ (Solve sinθ+sin2θ+sin3θ=1+cosθ+cos2θ)

দুটি ম্যাট্রিক্স A ও B দেওয়া আছে। AB ও BA এর মধ্যে কোন সম্পর্ক থাকলে তা নির্ণয় কর। B-1 কে x ও A এর মাধ্যমে প্রকাশ কর।

A=3x-4x2x-2xx0-x-xx

এবং B=x2x-2x2x5x-4x3x7x-5x

a tanθ + b secθ = c সমীকরণের মূলদ্বয় α,β হলে, প্রমাণ কর যে, tan (α+β) = 2caa2-c2 ।

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Request history8.2.27PHP Version93.08msRequest Duration9MBMemory UsageGET admission/written-questionRoute
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    • Application (63.27ms)time
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      uri
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        • app/Http/Controllers/Academy/QuestionController.php:488
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      • restrict.blade.php#30debugerror_satt210μsselect * from `package_plans` where `status` = 'active' and `package_plans`.`deleted_at` is null
        Bindings
        • 0: active
        Backtrace
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      App\Models\WrittenQuestion
      7WrittenQuestion.php#?
      App\Models\WrittenMeta
      7WrittenMeta.php#?
      App\Models\PackagePlan
      4PackagePlan.php#?
      App\Models\SubCategory
      3SubCategory.php#?
      App\Models\Description
      3Description.php#?
      App\Models\Subject
      2Subject.php#?
      App\Models\Category
      2Category.php#?
      App\Models\User
      2User.php#?
      App\Models\MainCategory
      1MainCategory.php#?
      App\Models\SubjectDescription
      1SubjectDescription.php#?
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