Match the following | Column I | Column II | |---|---| |

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

Match the following

Column I	Column II
(A) If $ax + by - 5 = 0$ is the equation of the chord of the circle $(x - 3)^2 + (y - 4)^2 = 4$ , which passes through $(2, 3)$ and at the greatest distance from the centre of the circle, then	(p) $a + b = 1$
(B) Let $O$ be the origin and $P$ be a variable point on the circle $x^2 + y^2 + 2x + 2y = 0$ . If the locus of mid-point of $OP$ is $x^2 + y^2 + 2ax + 2by = 0$ , then	(q) $a + b = 2$
(C) If $(a, b)$ be coordinates of the centre of the smallest circle which cuts the circle $x^2 + y^2 - 2x - 4y - 4 = 0$ and $x^2 + y^2 - 10x + 12y + 52 = 0$ orthogonally, then	(r) $a^2 + b^2 = 2$
(D) If $a$ and $b$ are the slope of tangents which are drawn to the circle $x^2 + y^2 - 6\sqrt{3}x - 6y + 27 = 0$ from the origin, then	(s) $a^2 + b^2 = 3$