Column I Column II (A) Two intersecting circles (p) have a common tangent

Question

Match the conditions/expressions in Column I with statement in Column II.

Column I	Column II
(A) Two intersecting circles	(p) have a common tangent
(B) Two mutually external circles	(q) have a common normal
(C) Two circles, one strictly inside the other	(r) do not have a common tangent
(D) Two branches of a hyperbola	(s) do not have a common normal

Answer 1

A→q, p

B→ q, p

C→ q, r

D→q, r

Explanation:

(A) When two circles are intersecting they have a common normal and common tangent.

(B) Two mutually external circles have a common normal and common tangent.

(C) When one circle lies inside of other, then they have a common normal but no common tangent.

(D) Two branches of a hyperbola have a common normal but no common tangent.