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JEE Main 2007
Exam
JEE Main
Year
2007
Subject
Mathematics
Chapter
Parabola

JEE Main 2007 · Mathematics · Parabola

The equation of a tangent to the parabola y^2=8 x is y=x+2 . The...

The equation of a tangent to the parabola y2=8xy^2=8 x is y=x+2y=x+2. The point on this line from which the other tangent to the parabola is perpendicular to the given tangent is

Options

  1. A(−1,1)(-1,1)
  2. B(0,2)(0,2)
  3. C(2,4)(2,4)
  4. D(−2,0)(-2,0)

Correct answer

D. (−2,0)(-2,0)

Step-by-step solution

Point must be on the directrix of the parabola. Hence the point is (−2,0)(-2,0).
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