11. The line divides the join of and in the ratio 2: 5. Find the value of k.

Solution:-

Let us assume the point of intersection of CD and line  be the point Q(a, b)

From the question it is given that, line  divides the line segment CD are in the ratio 2: 5,

So, CQ: QD

So, Point C become

D become

Then, the coordinates of Q are,

      

Since Q(a, b) lies on the line ,

Where,

Therefore, value of k is.