Question 18 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards

Last updated at Dec. 13, 2024 by Teachoo

If 5 tan β = 4, the 5 sin⁡β - 2 cos⁡β/5 sin⁡β - 2 cos⁡β =

(a) 1/3 (b) 2/5 (c) 3/5 (d) 6

This question is Similar to Question 15 - NCERT Exemplar - MCQ

[MCQ] If 5 tanβ = 4, then 5 𝑠𝑖𝑛𝛽 − 2 cos𝛽 / 5 sin𝛽 + 2 cos𝛽 = - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard

part 2 - Question 18 - CBSE Class 10 Sample Paper for 2023 Boards - Maths Standard - Solutions of Sample Papers for Class 10 Boards - Class 10

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Transcript

Question 18 If 5 tan β = 4, the (5 sin⁡〖𝛽 〗− 2 cos⁡𝛽)/(5 sin⁡〖𝛽 〗+ 2 cos⁡𝛽 ) = (a) 1/3 (b) 2/5 (c) 3/5 (d) 6 Given 5 tan 𝛽 = 4 tan 𝛽 = 𝟒/𝟓 Now, (5 sin⁡〖𝛽 〗− 2 cos⁡𝛽)/(5 sin⁡〖𝛽 〗+ 2 cos⁡𝛽 ) Dividing numerator and denominator by cos 𝛽 = (5 sin⁡𝛽/cos⁡𝛽 − 2 co𝑠⁡𝛽/cos⁡𝛽 )/(5 sin⁡𝛽/cos⁡𝛽 + 2 co𝑠⁡𝛽/cos⁡𝛽 ) = (𝟓 𝐭𝐚𝐧⁡〖𝛽 − 𝟐〗)/(𝟓 𝐭𝐚𝐧⁡〖𝛽 + 𝟐〗 ) Putting tan θ = 𝟒/𝟓 = (5 × 4/5 − 2)/(5 × 4/5 + 2) = (4 − 2)/(4 + 2) = 2/6 = 𝟏/𝟑 So, the correct answer is (a)

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Davneet Singh

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 and Computer Science at Teachoo

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