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Let P be a point on the ellipse (x^(2))/...

Let P be a point on the ellipse `(x^(2))/(9)+(y^(2))/(4)=1` and the line through P parallel to the y-axis meets the circle `x^(2)+y^(2)=9` at Q, where P,Q are on the same side of the x-axis. If R is a point on PQ such that `(PR)/(RQ)=(1)/(2)`, then the locus of R is

A

`(x^(2))/(9)+(9y^(2))/(49)=1`

B

`(x^(2))/(49)+(y^(2))/(9)=1`

C

`(x^(2))/(9)+(y^(2))/(49)=1`

D

`(9x^(2))/(49)+(y^(2))/(9)=1`

Text Solution

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The correct Answer is:
A, B, D
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