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The locus of the middle points of the po...

The locus of the middle points of the portions of the tangents of the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` included between the axis is the curve
(a)    `(x^2)/(a^2)+(y^2)/(b^2)=1/4`
(b)    `(a^2)/(x^2)+(b^2)/(y^2)=4`
(c)    `a^2x^2+b^2y^2=4`
(d)    `b^2x^2+a^2y^2=4`

A

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

B

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

C

`a^2x^2+b^2y^2=4`

D

`b^2x^2+a^2y^2=4`

Text Solution

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The correct Answer is:
B
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