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AP EAMCET2007MathematicsTrigonometric Ratios & Identities

A+ B= 3 ( B- A) 3 A+ 3 B is equal to

Options

  1. A0
  2. B2
  3. C1
  4. D-1

Correct answer

A. 0

Step-by-step solution

Given, A+ B= 3 ( B- A) aligned & A+ 3 A= 3 B- B & 1 2 A+ 3 2 A= 3 2 B- 1 2 B & 3 A+ 3 A & = 3 B- 3 B & (A+ 3 )= ( 3 -B ) & A+ 3 = 3 -B & A=-B & aligned Now, 3(A)+ 3 B aligned & = (-3 B)+ 3 B & =- 3 B+ 3 B & =0 aligned

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