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

Last updated at Sept. 19, 2024 by Teachoo

This question is similar to NCERT Exemplar - MCQ

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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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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