Mathematics

Problem

Match the following

Column I	Column II
(A) If the straight lines $y = a_1x + b$ and $y = a_2x + b$ ( $a_1 \neq a_2$ ) and $b \in R$ meet the coordinate axes in concyclic points, then	(p) $a_1^2 + a_2^2 = 4$
(B) If the chord of contact of the tangents drawn to $x^2 + y^2 = b^2$ and $b \in R$ from any point on $x^2 + y^2 = a_1^2$ , touches the circle $x^2 + y^2 = a_2^2$ ( $a_1 \neq a_2$ ), then	(q) $a_1 + a_2 = 3$
(C) If the circle $x^2 + y^2 + 2a_1x + b = 0$ and $x^2 + y^2 + 2a_2x + b = 0$ ( $a_1 \neq a_2$ ) and $b \in R$ cuts orthogonally, then	(r) $a_1a_2 = b$
	(s) $a_1a_2 = 1$
	(t) $a_1a_2 = b^2$