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

P is a point on the ellipse `(x^(2))/(a^(2)) +(y^(2))/( b^(2)) =1` with foci at ` S, S^(-1).` Normal at P cuts the x-axis at G and `(SP)/( S^(1)P) =(2)/(3) then (SG)/( S^(1)G) `

A

A) `(4)/(9) `

B

B) ` ( 3)/(2) `

C

C) ` ( 2a)/( 3b) `

D

D) ` ( 2)/(3) `

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The correct Answer is:
D
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AAKASH SERIES-REVISION EXERCISE -ELLIPSE
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  12. The locus of the mid points of the normal chords of ( x^(2) ) /(a^(2))...

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  13. Tangents are drawn through the point (4, sqrt3) to the ellipse (x^(2...

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  15. The locus of the mid points of parallel chords of an ellipse is a strr...

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  16. If the locus of the mid points of the chords of the ellipse (x^(2))/(a...

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  17. A point moves such that the distance from the point (2,0) is always 1...

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  18. Tangents are drawn to the ellipse (x^(2))/(a^(2)) +(y^(2))/( b^(2)) =a...

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  19. The nature of inter cepts made on the axes by the tangent at the point...

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