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The locus of the point of intersection o...

The locus of the point of intersection of the perpendicular tangents to the ellipse `x^(2)//a^(2)+y^(2)//b^(2)=1` is

A

`x^(2)+y^(2)=a^(2)`

B

`x^(2)+y^(2)=b^(2)`

C

`x^(2)+y^(2)=a^(2)+b^(2)`

D

`x^(2)+y^(2)=a^(2)-b^(2)`

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DIPTI PUBLICATION ( AP EAMET)-ELLIPSE-EXERCISE 1A
  1. The radius of the circle passing through the foci of the ellipse x^(2)...

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  2. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

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  3. The locus of the point of intersection of the perpendicular tangents t...

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  4. The locus of the point of intersection of two tangents to the ellipse ...

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  5. If tangents are drawn from any point on the circle x^(2)+y^(2)=25 to t...

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  6. The product of the perpendiculars from the foci on any tangent to the...

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  7. If F(1), F(2), F(3) be the feet of the perpendicular from the foci S(1...

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

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

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

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

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

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

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

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

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

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

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

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

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

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