Circle And System Of Circles Question 31

Question: If the circle $ {{(x-h)}^{2}}+{{(y-k)}^{2}}=r^{2} $ touches the curve $ y=x^{2}+1 $ at a point (1, 2), then the possible locations of the points (h, k) are given by

[AMU 2000]

Options:

A) $ y=mx\pm \sqrt{1+m^{2}} $

B) $ y=mx\pm a\sqrt{1+m^{2}} $

C) $ x=my\pm a\sqrt{1+m^{2}} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

It is obvious.