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P is a point on the circle `x^(2) + y^(2) = c^(2)`. The locus of the mid-points of chords of contact of P with respect to `x^(2)/a^(2) + y^(2)/b^(2) = 1,` is

A

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = x^(2)/a^(4) + y^(2)/b^(4)`

B

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = b^(2)(x^(2)/a^(4) + y^(2)/b^(4))`

C

`(x^(2)/a^(2) + y^(2)/b^(2))^(2) = a^(2)(x^(2)/a^(4) + y^(2)/b^(4))`

D

none of these

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The correct Answer is:
B
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  7. The locus of the poles of normal chords of the ellipse x^(2)/a^(2) + y...

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  8. The locus of mid-points of a focal chord of the ellipse x^2/a^2+y^2/b^...

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  9. The locus of points whose polars with respect to the ellipse x^(2)/a^(...

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  13. P is a point on the circle x^(2) + y^(2) = c^(2). The locus of the mid...

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  14. If the tangent to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 makes inte...

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  15. If the tangents to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 make angles a...

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  16. If C is centre of the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 and the no...

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  17. If the normals at P(theta) and Q(pi/2+theta) to the ellipse (x^2)/(a^2...

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  18. If a tangent to the ellipse x^2/a^2+y^2/b^2=1, whose centre is C, me...

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  19. The tangent at point P on the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 cu...

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  20. If the lengths of major and semi-minor axes of an ellipse are 4 and sq...

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