Question

find the ratio in which P[4,m] divides the line segment joining the points A[2,3] and B[6,-3] Hence find m

Answer 1

Remember genius devil

Let ratio be k:1

P ( 4 , m ) divides ( 2 , 3 ) , ( 6 , -3 ) by k:1

x = (kx2 + x1) / (k + 1 )

=> 4 = 6k + 2 / k + 1

=> 4 k + 4 = 6 k + 2

=> 2 k = 2

k = 1

Ratio is 1:1

Now :

m = ky2 + y1 / k + 1

=> m = y2 + y1 / 2

=> m = 3-3/3

=>m=0

The value of m = 0