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AP EAMCET2007MathematicsPair of Lines

The angle between the pair of straight lines formed by joining the points of intersection of x^2+y^2=4 and y=3 x+c to the origin is a right angle. Then c^2 is equal to

Options

  1. A20
  2. B13
  3. C1 / 5
  4. D5

Correct answer

A. 20

Step-by-step solution

Since, the angle is right angle. Homogenising, x^2+y^2=4 ( y-3 x c )^2 c^2 (x^2+y^2 )=4 (y^2+9 x^2-6 x y ) These lines are perpendicular. coefficient of x^2+ coefficient of y^2=0 aligned & c^2-36+c^2-4 & =0 & 2 c^2 & =40 & c^2 & =20 aligned

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