Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Algebra

Question:

Which of the following will satisfy a2 = b2 + (ab)2 for the values a and b?

Options:

a sin x, b = cot x

a = cos x, b = tan x

a cot x, b = cos x

a sin x, b = tan x

Correct Answer:

a cot x, b = cos x

Explanation:

If we choose option 3 =  a cot x, b = cos x

cot2x = cos2x + (cot x × cos x)2

cot2x = cos2x+ (cot2 x × cos2 x) 

cot2x = cos2x (cot2 x + 1)

cot2x = cos2x (cosec2x)

cot2x = cos2x (\(\frac{1}{sin}\))2

cot2x = cot2x