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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
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CBSE Class 10 Sample Paper for 2025 Boards - Maths Standard
Last updated at Oct. 3, 2024 by Teachoo
This question is similar to NCERT Exemplar - MCQ
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Question 6 If tanβ‘π=5/2 then (4 sinβ‘π+ cosβ‘π)/(4 sinβ‘πβ cosβ‘π) is equal to (A) 11/9 (B) 3/2 (C) 9/11 (D) 4Given tan ΞΈ = π/π Now, (4 sinβ‘γπ + cosβ‘π γ)/(4 sinβ‘γπ β cosβ‘π γ ) Dividing numerator and denominator by cos ΞΈ = (4 sinβ‘π/cosβ‘π + coπ β‘π/cosβ‘π )/(4 sinβ‘π/cosβ‘π β coπ β‘π/cosβ‘π ) = (π πππ§β‘γπ½ + πγ)/(π πππ§β‘γπ½ β πγ ) Putting tan ΞΈ = π/π = (4 Γ 5/2 + 1)/(4 Γ 5/2 β 1) = (10 + 1)/(10 β 1) = ππ/π So, the correct answer is (A)