Question

in what ratio does the x axis divide the line segment joining the point - 4 - 6 and -1,7 find the coordinates of the point of division​

Answer 1

Answer:

let the ratio be 1:k . Then by the section formula, the coordinates of the point which divides A (-4,-6) and B (-1,7) in the ration 1:k are

here, x1 = -4, x2 = -1

and y1 = -6 , y2 = 7

and m1 = 1 , m2 = k

m1x2 + m2x1 / m1 + m2 , m1y2+m2y1 /m1 + m2

=1×-1 + k×-4 / 1+k , 1×7 + k×-6 / 1+k

=-1-4k / 1+k , 7-6k/ 1+k

The point lies on the x-axis, and we know that on the x-axis the abscissa is 0.

therefore,

1-4k / 1+k =0

1-4k =0

1 = 4k

1/4 =k

that is, the ratio is 1: 1/4

putting the value of k=1/4, we get the point of intersection as ( 22/5,0 ).

Answer 2

Answer:

use section formula to find hope it helps u......