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AP EAMCET201921 Apr 2019Evening ShiftMathematicsPair of LinesActual

The number of values of a for which the pair of lines represented by 3 a x 2 + 5 x y + a 2 - 2 y 2 = 0 are at right angles to each other, is

Options

  1. A2
  2. B1
  3. Cinfinitely many
  4. D0

Correct answer

A. 2

Step-by-step solution

The pair of the lines represented by the given equation will be perpendicular to each other, when Coefficient of x 2 + coefficient of y 2 = 0 3 a + a 2 - 2 = 0 On solving the above quadratic equation, a = - 3 ± 17 2 There are two values.

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