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The locus of the midpoints of the chord ...

The locus of the midpoints of the chord of the circle, `x ^(2) + y ^(2) = 25` which is tangent to the hyperbola, `(x ^(2))/( 9) - (y ^(2))/(16)=1` is :

A

`(x ^(2) + y ^(2)) ^(2) - 16 x ^(2) + 9y ^(2) = 0`

B

`(x ^(2) + y ^(2)) ^(2) - 9x ^(2) + 144 y ^(2) = 0`

C

`(x ^(2) + y ^(2)) ^(2) - 9x ^(2) + 16 y ^(2) = 0`

D

`(x ^(2) + y^(2)) ^(2) - 9x ^(2) - 16 y ^(2) = 0`

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2021-MATHEMATICS (SECTION A)
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