Questions
Consider a family of circles which are passing through and are tangent to x-axis. If is the centre of circle, then:
a
k≥12
b
−12≤k≤12
c
k≤12
d
0
detailed solution
Correct option is A
Equation of family of circles with centre (h,k) and touching x -axis is: x−h2+y−k2=k2⇒x2+y2−2hx−2ky+h2=0 As M(1,1) lies on it ⇒ 2−2h−2k+h2=0⇒ k=h−12+12≥12∴k≥12Talk to our academic expert!
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