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Hyperbola question

2021 · 16 Mar · Shift 1 · Q30

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JEE Main
Mathematics
Hyperbola
2021 · 16 Mar · Shift 1 · Q30

Hyperbola question

2021 · 16 Mar · Shift 1 · Q30

JEE MainMathematicsHyperbolaMCQ+4 / −1

The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola,

{{{x^2}} \over 9} - {{{y^2}} \over {16}} = 1

is :

A
(x2 + y2)2 $-$ 9x2 + 16y2 = 0
B
(x2 + y2)2 $-$ 9x2 + 144y2 = 0
C
(x2 + y2)2 $-$ 16x2 + 9y2 = 0
D
(x2 + y2)2 $-$ 9x2 $-$ 16y2 = 0

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