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KCET2010MathematicsIndefinite Integration

If 1 (3-5 x)(2+3 x) = A 3-5 x + B 2+3 x , then A : B is

Options

  1. A2: 3
  2. B5: 3
  3. C3: 5
  4. D3: 2

Correct answer

B. 5: 3

Step-by-step solution

Given, 1 (3-5 x)(2+3 x) = A (3-5 x) + B (2+3 x) By partial fraction 1=(3 A-5 B) x+(2 A+3 B) On comparing the like powers of ' x ' and array rr 3 A-5 B=0 & (i) 2 A+3 B=1 & (ii) array On solving, we get A = 5 19 , ~B = 3 19 Hence, A : B =5: 3

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