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C is the centre of the ellipse (x^(2))/(...

C is the centre of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1` and L is an end of a latusrectum. If the normal at L meets the major axis at G then CG =

A

ae

B

`ae^(2)`

C

`ae^(3)`

D

`a^(2)e^(2)`

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The correct Answer is:
C
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AAKASH SERIES-ELLIPSE-EXERCISE-II
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  2. Statement-I : The sum of the slopes of the tangents drawn from (5,4) ...

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  3. C is the centre of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 and...

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  4. Statement-I : The distance of the normal to x^(2) + 2y^(2) = 5 at (1,s...

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  5. The product of the perpendicular distances drawn from the foci to any ...

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  6. The angle between the tangents drawn from the point (1,2) to the ellip...

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  7. If the chords of contact of P(x(1),y(1)) and Q(x(2),y(2)) w.r.t the el...

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  8. The mid point of the chord 2x+5y=12 of the ellipse 4x^(2) + 5y^(2) = 2...

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  9. If the line 2x + 5y = 12 intersects the ellipse 4x^(2)+5y^(2) = 20 in ...

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  10. The midpoint of a chord of the ellipse x^(2)+4y^(2)-2x+20y=0 is (2, -4...

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  11. The ratio of the ordinates of a point and its .corresponding point is(...

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  12. If the extremities of a focal chord are (5pi)/(12) and (pi)/(12) then...

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  13. If alpha,beta are the ends of a focal chord of the ellipse (x^(2))/(a^...

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  14. If the chord joining two points whose eccentric angles are alpha and ...

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  15. If tan theta(1) tan theta(2) =-(a^(2))/(b^(2)) then the chord join...

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  16. The tangent at 'p' on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 cu...

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  17. P(theta) and D(theta+(pi)/(2)) are the points on the ellipse with c...

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  18. The area of the parallelogram formed by the tangents at the points who...

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  19. The area of the parallelogram formed by the tangents at the points who...

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  20. If PSQ is a focal chord then match the ellipse with the value of (1)/...

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