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The sum of the squares of the perpendicu...

The sum of the squares of the perpendiculars on any tangent to the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1` from two points on the minor axis each at a distance `sqrt(a^(2)-b^(2))` from the centre is

A

`2a^(2)`

B

`2b^(2)`

C

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

D

`a^(2)-b^(2)`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...

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  2. Perpendiculars are drawn from the points (0, pm ae) on any tangent to ...

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  3. The sum of the squares of the perpendiculars on any tangent to the ell...

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  4. Let d and d^(') be the perpendicular distances from the foci of an ell...

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  5. Tangents to the ellipse x^(2)//a^(2)+y^(2)//b^(2)=1 make angles theta(...

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  6. The tangent to x^(2)//a^(2)+y^(2)//b^(2)=1 meets the major and minor a...

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  7. S (3, 4) and S^(') (9, 12) are the focii of an ellipse and the foot of...

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  8. The locus of the foot of the perpendicular drawn from the centre of th...

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  9. The area (in sq . Unit ) of the quadrilateral formed by the tangents a...

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

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  11. If the normal at the end of latus rectum of an ellipse x^(2)//a^(2)+y^...

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  12. The slope of a common tangent to the ellipse x^(2)//a^(2)+y^(2)//b^(2)...

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  13. The parametric representation (2+t^(2),2t+1) represents

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  14. The points on the ellipse 2x^(2)+3y^(2)=6 whose eccentric angles diffe...

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  15. The equation of the tangent at a point theta=3pi//4 to the ellipse x^(...

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  16. The equation of the normal to the ellipse x^(2)//16+y^(2)//9=1 at the...

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  17. If x/a+y/b=sqrt(2) touches the ellipse x^(2)/a^(2)+y^(2)/b^(2)=1, then...

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  18. The distance of a point on the ellipse x^(2)//6+y^(2)//2=1 from the ce...

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  19. The eccentric angles of the extremities of latusrecta of the ellipse x...

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  20. The tangent and normal to the ellipse 4x^(2)+9y^(2)=36 at a point P on...

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