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

Last updated at April 16, 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

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)

Next: Question 19 [Assertion Reasoning] Important → Ask a doubt

Made by

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, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Class 6

Class 7

Class 8

Class 9

Class 10

Class 11

Class 12

Courses

Interesting

Popular