Q6 of 10 Page 171

Find the ratio in which the line 2x + 3y–5 = 0 divides the line segment joining the points (8,–9) and (2, 1). AlSo, find the coordinates.

Let the ratio be λ: 1

To find the values of a and b we need to use the sectional formula, which is ,


For Points (8,–9) and (2, 1) by applying section formula we get,


⇒


Given equation of line is 2x + 3y–5 = 0 substitute the values of x,y in the equation of line


=


⇒


⇒


⇒


Hence the ratio is 8:1.


AlSo, the coordinates are


⇒


⇒


∴ The coordinates are (x,y) = ()


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