The locus of centre of circle which touches the circle x2+y2-8 x-8 y+23=0 and the y-axis is a conic whose latus rectum is

Question

The locus of centre of circle which touches the circle x2+y2-8 x-8 y+23=0 and the y-axis is a conic whose latus rectum is (A) 14 (B) 7 (C) 6 (D) 3

Tardigrade Admin · Accepted Answer

r=√42+42-23=3 Locus of centre is a parabola with focus (4,4) and directrix x=-3

Q. The locus of centre of circle which touches the circle $x^{2} + y^{2} - 8 x - 8 y + 23 = 0$ and the $y$ -axis is a conic whose latus rectum is