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If any tangent to the ellipse (x^2)/(a^2...

If any tangent to the ellipse `(x^2)/(a^2) + (y^2)/(b^2)`=1 intercepts lengths h and k on the axes, then.

A

`(h^2)/(a^2) + (k^2)/(b^2) =1`

B

`(h^2)/(a^2) + (k^2)/(b^2) =2`

C

`(a^2)/(h^2) + (b^2)/(k^2) =1`

D

`(a^2)/(h^2) + (b^2)/(k^2) =2`

Text Solution

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The correct Answer is:
C
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ML KHANNA-THE ELLIPSE-PROBLEM SET (2) (Multiple Choice Questions)
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  7. An ellipse passes through the point (4,-1) and touches the line x+4...

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  8. If a tangent having a slope of -4/3 to the ellipse x^2/18 + y^2/32 = 1...

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  9. The sum of the squares of the perpendiculars on any tangents to the ...

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  10. The product of the perpendiculars drawn from the two foci of an ellips...

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  11. The points (1, -1) and (2, - 1) are the foci of an ellipse and the lin...

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  12. If F1 and F2 be the feet of the perpendiculars from the foci S1 and S2...

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  13. if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ...

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  14. The length of a common tangent to x^2 + y^2 = 16 and 9x^2 + 25y^2 = 22...

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

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  16. If sqrt(3) bx +ay = 2ab touches the ellipse (x^2)/(a^2) + (y^2)/(b^2) ...

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  17. The eccentric angle of a point P lying in the first quadrant on the el...

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  18. If theta is the angle between the pair of tangents drawn to the ellips...

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  19. Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=...

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