Questions
The locus of the centre of a circle touching the lines
and , is
a
xy=0
b
x=0
c
y=0
d
none of these
detailed solution
Correct option is A
Let (h, k) be the center and r be the radius of the circle. As it touches the lines x + 2y = 0 and x - 2y = 0.∴ h+2k5=h−2k5= Radius⇒ h+2k=±(h−2k)⇒ k=0 or ,h=0⇒ Locus of (h, k) is x = 0 or, y = 0Hence, the locus of (h, k) is xy = 0.Talk to our academic expert!
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