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KVPY2013MathematicsStraight Lines

If a, b are positive real numbers such that the lines ax +9 y=5 and 4 x+b y=3 are parallel, then the least possible value of a+b is

Options

  1. A13
  2. B12
  3. C8
  4. D6

Correct answer

B. 12

Step-by-step solution

a 4 = 9 b a b=36 using A M G M a+b 2 a b a+b 12

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