Question

if three points A(h,0),P(a,b) and B(0,k) lie on a line show that a/h+b/k=1

Answer 1

Answer :

Any line passing through the points A (h, 0) and B (0, k) be

(x - h)/(h - 0) = (y - 0)/(0 - k)

or, (x - h)/h = - y/k

or, x/h + y/k = 1 ...(i)

Given that the three points A, B and P lie on the same line, then P (a, b) lies on (i) no. line too.

Hence,

a/h + b/k = 1

Hence, proved.

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