The locus of the mid points of the chords of the circle $x^2+y^2=16$, which are tangents to the hyperbola $9…

The locus of the mid points of the chords of the circle $x^2+y^2=16$, which are tangents to the hyperbola $9 x^2-16 y^2=144$, is
  1. $8 x^2-9 y^2=\left(x^2+y^2\right)^2$
  2. $16 x^2-9 y^2=\left(x^2+y^2\right)^2$
  3. $9 x^2-14 y^2=\left(x^2+2 y^2\right)^2$
  4. $3 x^2+4 y^2=\left(x^2+2 y^2\right)^2$

Solution

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Asked in: AP EAMCET 2017 (25 Apr Shift 1)

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