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The straight line joining any point  on the parabola  to the vertex and perpendicular from the focus to the tangent at  intersect at  then the equation of the locus of  is

a)

b)

c)

d)



Question ID - 55888 | SaraNextGen Top Answer

The straight line joining any point  on the parabola  to the vertex and perpendicular from the focus to the tangent at  intersect at  then the equation of the locus of  is

a)

b)

c)

d)

1 Answer
127 votes
Answer Key / Explanation : (b) -

(b)

Tangent at point  is

Line perpendicular to Eq. (i) passes through ( ,0)

 or  or  (ii)

Equation of

  or  (iii)

From Eqs. (ii) and  (iii), eliminating , we get

Or

127 votes


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