The point A divides the join of `P(-5,1)a n dQ(3,5)` in the ratio `k : 1.` Find the two values of `k` for which the area of ` A B C` where `B` is `(1,5)a n dC(7,-2)` is equal to 2 units.

A point A divides the join of P(-5,1) and Q(3,5) in the ratio k:1. Then the integral value of k for which the area of $ABC, where B is (1,5) and C is (7,-2), is equal to 2 units in magnitude is

The plane-XY divides the join of (1, -1, 5) and (2, 3, 4) in the ratio k : 1 then k is

If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2:3 then find the value of k.

If the point C(k, 4) divides the join of A(2, 6) and B(5, 1) in the ratio 2:3 then find the value of k.

A point (-4,1) divides the line joining A(2,-2) and B(x,y) in the ratio 3:5. Then point B is

If the point P(6,2) divides the line segment joining A(6,5) and B(4, y) in the ratio 3:1, then find the value of y.

The point C divides the line joining the points A(4,5) and B(7,-1) internally in the ratio 1:2. Find the coordinates of C.

Find the point which divides the join of (2,1) and (3,5) externally in the ratio of 2:3, the point lying towards the points (3,5)

If the point C(k, 4) divides the line segment joining two points A(2,6) and B(5, 1) in ratio 2:3, the value of k is