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Find the locus of the foot of the perpen...

Find the locus of the foot of the perpendicular drawn from the center upon any tangent to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1.`

A

`(x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1`

B

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

C

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

D

None of these

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Verified by Experts

The correct Answer is:
C
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AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
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  2. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

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  8. The centre of the ellipse 4x^(2) + 9y^(2) + 16 - 18y - 11 = 0 is

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  10. The co-ordinates of foci of an ellipse 3x^(2) + 4y^(2) - 4x - 6y -13 =...

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  11. If the line joining foci subtends an angle of 90^(@) at an extremity ...

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  12. In an ellipse the distance between the foci is 8 and the distance betw...

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  13. Tangents are drawn to the ellipse x^2/9+y^2/5 = 1 at the end of latus ...

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  14. The tangent at any point on the ellipse 16x^(2) + 25^(2) = 400 meets ...

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  15. If tangents are drawn to the ellipse 2x^(2) + 3y^(2) =6, then the locu...

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  16. The minimum area of the triangle formed by the tangent to the ellipse ...

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  17. The number of common tangents to the ellipse (x^(2))/(16) + (y^(2))/(9...

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  18. If the focal distance of an end of minor axis of any ellipse, ( whose...

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