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The normal at a variable point P on the ...

The normal at a variable point `P` on the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` of eccentricity `e` meets the axes of the ellipse at `Qa n dRdot` Then the locus of the midpoint of `Q R` is a conic with eccentricity `e '` such that (a)`e^(prime)` is independent of `e` (b) `e^(prime)=1` (c)`e^(prime)=e` (d) `e^(prime)=1/e`

A

e' is independent of e

B

e'=1

C

e'=e

D

`e'=(1)/(e )`

Text Solution

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The correct Answer is:
C
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