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JEE Main20206 Sep 2020Morning ShiftMathematicsEllipseActual

Which of the following points lies on the locus of the foot of perpendicular drawn upon any tangent to the ellipse, x 2 4 + y 2 2 = 1 from any of its foci?

Options

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

Correct answer

C. ( - 1 , 3 )

Step-by-step solution

Foot of perpendicular from focus upon any tangent lies on auxiliary circle So equation of locus is: x 2 + y 2 = 4 Now verify option

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