Question
The centre of the sphere which touches the lines $y=x$, $z=c$ and $y=-x, z=-c$ lies on(A) $x y=2 c z$(B) $x y=-2 c z$(C) $y z=2 c x$(D) $y z=-2 c x$
Step 1
The lines $y = x, z = c$ intersect at the point $(u, u, c)$. Substituting these values into the equation of the sphere, we get $2u^2 + 2uc + c^2 + 2wc + d = 0$. Show more…
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