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The tangent at any point P on the ellips...

The tangent at any point P on the ellipse meets the tangents at the vertices A & `A^(1)` of the ellipse `(x^(2))/(a^(2))+( y^(2))/(b^(2))=1` at L and M respectively. a b Then AL. `A^(1)`M =

A

`a^(2)`

B

`b^(2)`

C

`a^(2)+b^(2)`

D

ab

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The correct Answer is:
B
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AAKASH SERIES-ELLIPSE-EXERCISE-I
  1. The locus of the point of intersection of the perpendicular tangents t...

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  2. Angle between the tangents drawn from the point (5,4) to the ellipse ...

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  3. The tangents drawn from the point P to the ellipse 5x^(2) + 4y^(2) =20...

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  4. The equation to the auxiliary circle of (x^(2))/(7)+(y^(2))/(5)=1 is

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  5. The tangent at any point P on the ellipse meets the tangents at the ve...

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  6. The equation of the normal to the ellipse x^(2)+3y^(2)=144 at the posi...

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  7. The equation of the chord of the ellipse 4x^(2) + 9y^(2)= 36 having (3...

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  8. If p(theta) is a point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  9. The dist. of a point P on the ellipse (x^(2))/(12)+(y^(2))/(4)=1 from...

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  10. The eccentric angles of the ends of L.R. of the ellipse (x^(2)/(a^(2)...

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  11. P((pi)/(6)) is a point on the ellipse (x^(2))/(36)+(y^(2))/(9)=1 S,S^(...

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  12. The equation of the tangent at the point theta=(pi)/(3) to the ell...

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  13. (x)/(a)+(y)/(b)=sqrt(2) touches the ellipse (x^(2))/(a^(2))+(y^(2))/(b...

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  14. The equation of the normal to the ellipse (x^(2))/(4)+(y^(2))/(2)=1 at...

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  15. If P is a point on the ellipse of eccentricity e and A, A 1 are the ve...

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  16. P is a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1...

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  17. If sqrt(3)bx +ay=2ab is a tangent to the ellipse then ecentric angle...

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  18. The locus of mid points of the chords of the ellipse (x^(2))/(a^(2))+...

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  19. {:("List"-I,"List"-II),("The number of rational points on the ellipse"...

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  20. The radius of the circle passing through the foci of the ellipse x^(2)...

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