Question 6 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Feb. 11, 2025 by Teachoo

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[MCQ] If tan 𝜃 = 5/2 then (4 sin 𝜃 + cos 𝜃) / (4 sin𝜃 − cos𝜃) is - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard

part 2 - Question 6 - CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Question 6 If tan⁡𝜃=5/2 then (4 sin⁡𝜃+ cos⁡𝜃)/(4 sin⁡𝜃− cos⁡𝜃) is equal to (A) 11/9 (B) 3/2 (C) 9/11 (D) 4Given tan θ = 𝟓/𝟐 Now, (4 sin⁡〖𝜃 + cos⁡𝜃 〗)/(4 sin⁡〖𝜃 − cos⁡𝜃 〗 ) Dividing numerator and denominator by cos θ = (4 sin⁡𝜃/cos⁡𝜃 + co𝑠⁡𝜃/cos⁡𝜃 )/(4 sin⁡𝜃/cos⁡𝜃 − co𝑠⁡𝜃/cos⁡𝜃 ) = (𝟒 𝐭𝐚𝐧⁡〖𝜽 + 𝟏〗)/(𝟒 𝐭𝐚𝐧⁡〖𝜽 − 𝟏〗 ) Putting tan θ = 𝟓/𝟐 = (4 × 5/2 + 1)/(4 × 5/2 − 1) = (10 + 1)/(10 − 1) = 𝟏𝟏/𝟗 So, the correct answer is (A)

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