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 :

Question

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 :

(x² + y²)² $-$ 9x² + 16y² = 0

(x² + y²)² $-$ 9x² + 144y² = 0

(x² + y²)² $-$ 16x² + 9y² = 0

(x² + y²)² $-$ 9x² $-$ 16y² = 0

Solution

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