The point divides the line joining and internally in the ratio

MATHEMATICS · Single correct · CBSE · Mathematics · Coordinate Geometry · Coordinate Geometry

Problem

The point

S

divides the line joining

A(6,-2)

and

B(-3,4)

internally in the ratio

2:1

. For what positive value of

k

(with

k>2

) is the distance

SC

exactly

5

units, where

C(1,k)

? (a)

4

(b)

2+2\sqrt{6}

(c)

\sqrt{21}

(d)

2+\sqrt{6}