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

MATHEMATICS · Subjective · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

Match the following

Column I	Column II
A. The points $(\lambda+1, 1)$ , $(2\lambda+1, 3)$ and $(2\lambda+2, 2\lambda)$ are collinear then number of values of $\lambda$ is	(p) a prime number
B. Area of $\Delta ABC$ is 20 sq units, where A, B and C are $(4, 6)$ , $(10, 14)$ and $(\lambda, \mu)$ respectively. $AC$ is perpendicular to $BC$ , then number of positions of C is	(q) an odd number
C. In a $\Delta ABC$ , coordinates of orthocentre, centroid and vertex A are respectively $(2, 2)$ , $(2, 1)$ and $(0, 2)$ . The x-coordinate of vertex B is	(r) a composite number

| D. A man starts from

P(-3, 4)

and reaches the point

Q(0, 1)

touching the x-axis at

R(\lambda, 0)

such that

PR + RQ

is minimum, then

|OA|

is | (s) a perfect number |