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The equation of the locus of the middle ...

The equation of the locus of the middle point of the portion of the tangent to ellipse `(x^(2))/(16)+(y^(2))/(9)=1` intercepted between the axes is

A

`9 x^(2)-16 y^(2)=4 x^(2) y^(2)`

B

` 9 x^(2)+16 y^(2)=4 x^(2) y^(2)`

C

`16 x^(2)+9 y^(2)=4 x^(2) y^(2)`

D

` 16 x^(2)-9 y^(2)=4 x^(2) y^(2)`

Text Solution

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The correct Answer is:
B
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