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If any tangent to `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1` makes intercepts `p` and `q` on the axes then `(a^(2))/(p^(2))+(b^(2))/(q^(2))`=

A

4

B

3

C

2

D

1

Text Solution

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The correct Answer is:
D
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HIMALAYA PUBLICATION-ELLIPSE-QUESTION BANK
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  3. If any tangent to (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 makes intercepts p...

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  5. If the minor axis of an ellipse subtends an angle60^(circ) at each foc...

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  6. The auxilary circle of the ellipse 9 x^(2)+4 y^(2)=1 is

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  7. P is any point on the ellipse 9x^(2) + 36y^(2) = 324 whose foci are S ...

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  8. Let P be a variable point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2...

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  9. Eccentric angle of a point on the ellipse x^(2)+3 y^(2)=6 at a distanc...

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  10. The eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 whose...

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  11. The distance of the point theta^(prime) on the ellipse (x^(2))/(a^(2)...

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  12. The number of real tangents that can be drawn to the ellipse 3 x^(2)+5...

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  13. The number of tangents from (4,7) to the ellipse (x^(2))/(16)+(y^(2))/...

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  14. S(1) and S(2) are the foci of an ellipse and B is the end of the minor...

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  15. The length of the latus - rectum of the ellipse (x^(2))/(25) + (y^(2))...

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  16. The length of the major axis is three times the length of minor axis, ...

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  17. An ellipse has OB as a semi-minor axis. S(1),S(2) are its foci and the...

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  18. The equation of the locus of the middle point of the portion of the ta...

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  19. If sqrt(3) b x+a y=2 a b is a tangent to the ellipse (x^(2))/(a^(2))+(...

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  20. If a normal at any point on the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)...

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