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If the roots of the equation a x 2 + b x + c = 0 are in the ratio m : n , then

Options

  1. Am n b 2 = a c m + n 2
  2. Bb 2 m + n = m n
  3. Cm + n = b 2 m n
  4. Dm n c 2 = a b m + n 2

Correct answer

A. m n b 2 = a c m + n 2

Step-by-step solution

Let the roots are m r and n r m r + n r = - b a ⇒ r m + n = - b a … 1 and m n r 2 = c a … 2 Eliminating r , we get b 2 m n = c a m + n 2

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