Question

In what ratio does the point P(-4 , 1 ) divide the line segment joining A (2 , -2 )and B ( -14 , 6 ) ?​

Answer 1

Answer:

the required ratio is 23:1

Answer 2

Answer:

Step-by-step explanation:Let the ratio be k:1

A(2,-2),B(-14,6)

P(x,y)=mx2+nx1/m+n ,  my2+ny1/m+n

P(-4,1)=k*-14+1*2/k+1 , k*6+1*-2/k+1

Therefore, -4=-14k+2/k+1

-4k+4=-14k+2

So, -10k=6

Therefore k=3/-5

As we assumed earlier,

The ratio is k:1

As k=3/-5

k:1

3/-5:1 (After taking LCM)

Therefore the required ratio is 3:-5