AP EAMCET2007MathematicsTrigonometric Ratios & Identities

If (A-B)=3 / 5 and A B=2 , then which one of the following is true?

Options

A(A+B)= 1 5
B(A+B)=- 1 5
C(A-B)= 1 5
D(A+B)=- 1 5

Correct answer

D. (A+B)=- 1 5

Step-by-step solution

Given, (A-B)= 3 5 and A B=2 A B A B =2 Using componendo and dividendo aligned & A B+ A B A B- A B = 2+1 2-1 & (A-B) - (A+B) = 3 1 & 3 / 5 - (A+B) = 3 1 & -3 (A+B)= 3 5 & (A+B)=- 1 5 aligned

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