In what ratio does the Y axis divides the join of P (- 4 5 and Q 3 7?

6

4:3

SOLUTION:
Let the required ratio be k: 1 then the coordinates of the point of division are

In what ratio does the Y axis divides the join of P (- 4 5 and Q 3 7?

But, it is a point on y-axis on which x-coordinate of every point is zero.

In what ratio does the Y axis divides the join of P (- 4 5 and Q 3 7?

⇒ 3k - 4 = 0

In what ratio does the Y axis divides the join of P (- 4 5 and Q 3 7?
Thus, the required ratio is k = 4: 3.

In what ratio does y-axis divide the line segment joining the points (-4, 7) and (3, -7)?

Let y-axis divides the e segment pining the points ( -4,7) and (3,- 7)  in the ratio  K : 1 Then

`0= (3k-4)/(k+1) `

`⇒ 3k = 4`

`⇒ k = 4/3 `

Hence, the required ratio is 4:3

Concept: Coordinate Geometry

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