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AP EAMCET201922 Apr 2019Morning ShiftMathematicsParabolaActual

(y=3 x-2 ) is a straight line touching the parabola ((y-3)^2=12(x-2) ). If a line drawn perpendicular to this line at (P ) on it, touches the given parabola, then the point (P ) is

Options

  1. A((-1,-5) )
  2. B((-1,5) )
  3. C((-2,-8) )
  4. D((2,4) )

Correct answer

A. ((-1,-5) )

Step-by-step solution

According to the given information, Angle between the tangents is (90^ ). ( ) The point on the directrix Here, (x-2=-3 ) (x=-1 ) is directrix Given tangent is (y=3 x-2 ) ( array lrl & y & y(-1)-2=-5 & Point P is (-1,-5). array )

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