Q22 of 157 Page 760

In what ratio does the y-axis divide the join of P(-4, 2) and Q(8, 3)?

⇒ Let the ratio be k:1.

⇒ Then by section formula the coordinates of point which divide the line AB is given as

⇒ Since the point lies on y-axis its x-coordinate is zero.

⇒ = 0

⇒ 8k = 4

⇒ k = 1/2

Therefore the ratio in which x-axis divide the line AB is 1:2.

The distance of P(3, 4) from the x-axis is

In what ratio does the x-axis divide the join of A(2, -3) and B(5, 6)?

If P(-1, 1) is the midpoint of the line segment joining A(-3, b) and B(1, b + 4) then b = ?

The line 2x + y - 4 = 0 divides the line segment joining A(2, -2) and B(3, 7) in the ratio