Question

The point (1, 4) lie ___________ the circle x^2+y^2-2x-4y+2=0.

(a) inside circle

(b) outside circle

(c) on the circle

(d) either inside or outside

This question was addressed to me in examination.

The doubt is from Conic Sections topic in chapter Conic Sections of Mathematics – Class 11

Answer 1

Right option is (b) outside circle

To explain I would say: Circle has equation x^2+y^2-2x-4y+2=0.

1^2+4^2-2*1-4*4+2 = 1+16-2-16+2 =1 > 0 so, point is outside the circle.