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Home » (i) Write down the co-ordinates of the point P that divides the line joining A ( – 4, 1) and B (17,10) in the ratio 1 : 2.(iii)In what ratio does the y-axis divide the line AB ?
(i) Write down the co-ordinates of the point P that divides the line joining A ( – 4, 1) and B (17,10) in the ratio 1 : 2.(iii)In what ratio does the y-axis divide the line AB ?
CBSE | Class 10 | Exercise 1 | maths | ML Aggarwal | Section Formula
(i) Write down the co-ordinates of the point P that divides the line joining A ( – 4, 1) and B (17,10) in the ratio 1 : 2.(iii)In what ratio does the y-axis divide the line AB ?

(iii)Let m:n be the ratio in which Y axis divide line AB.

Since AB touches Y axis, its x co-ordinate will be zero.

Here x1 = -4, y1 = 1

x2 = 17, y2 = 10

By section formula, x = (mx2+nx1)/(m+n)

0 = (m×17+n×-4)/(m+n)

0 = (17m-4n)/(m+n)

17m-4n = 0

17 m = 4n

m/n = 4/17

m:n = 4:17

Hence the ratio in which Y axis divide line AB is 4:17.

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