Question

The line segment joining points (−3, −4), and (1, −2) is divided by y-axis in the ratio

(a) 1 : 3

(b) 2 : 3

(c) 3 : 1

(d) 2 : 3

Answer 1

Let P be the point of intersection of y-axis with the line segment joining A (−3,−4) and B (1,−2) which divides the line segment AB in the ratio.

Now according to the section formula if point a point P divides a line segment joining and in the ratio m:n internally than,

Now we will use section formula as,

Now equate the x component on both the sides,

On further simplification,

So y-axis divides AB in the ratio

So the answer is (c)