Question

The point (6, 2) lie ___________ the circle x^2+y^2-2x-4y-36=0.

(a) inside circle

(b) outside circle

(c) on the circle

(d) either inside or outside

I got this question in unit test.

I'm obligated to ask this question of Conic Sections topic in chapter Conic Sections of Mathematics – Class 11

Answer 1

Right answer is (c) on the circle

Explanation: Circle has equation x^2+y^2-2x-4y-16=0.

6^2+2^2-2*6-4*2-36 = 36+4-12-8-36 =-16<0 so, point is inside the circle.