Question

Find the ratio in which Xaxis divides the line joining the points(2,-3) and (5,6). The find the interesting point on X axis.​

Answer 1

Step-by-step explanation:

The ratio in which x axis divide the line segment AB is 1 : 2 and coordinate of point of intersection on x-axis is ( 5 , 0 )

Step-by-step explanation:

Given: Points are A( 2 , -3 ) and B( 5 , 6 )

To find: Ratio when line AB intersected by x - axis

             intersecting point on x-axis

let the ratio be k : 1 and the point where line AB intersect x-axis be ( x , 0 )

Section formula is given by,

So we get,

On comparing y-coordinates we get,

put value of k in x-coordinate to get x-coordinate of x-axis,

x = 5

Therefore, The ratio in which x axis divide the line segment AB is 1 : 2 and coordinate of point of intersection on x-axis is ( 5 , 0 )