The locus of centres of all circles which touch the line $x=2 a$ and cut the circle $x^2+y^2=a^2$…

The locus of centres of all circles which touch the line $x=2 a$ and cut the circle $x^2+y^2=a^2$ orthogonally is
  1. $y^2+4 a x-5 a^2=0$
  2. $y^2+4 a x+5 a^2=0$
  3. $y^2=4 a x-5 a^2$
  4. $y^2=4 a x+5 a^2$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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