Question

a) The line segment joining the points P(x,y) and Q(x,y) is divide by X-axis inthe ratio is_______b) The line segment joining the points P(x,y) and Q(x, y) is divide by Y-axis inthe ratio is_______​

Answer 1

Answer:

Correct option is

A

4:3

Given A(3,4),B(14,−3)

Let m:n be the ratio in which point P divides line segment AB and let (x,y) be the coordinates of the point P.

Since, P is the point of intersection of line AB with the x−axis, the y−coordinate of P equals 0.

Then, the coordinates of P is (x,0)

now, using section formula for y−coordinate of point P we have,

y=

m+n

m×(−3)+n×4

0=

m+n

−3m+4n

−3m+4n=0

3m=4n

n

m

=

3

4

Therefore, the required ratio is 4:3.

Step-by-step explanation:

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