If three points `A(h ,0),\ P(a , b)a n d\ B(0, k)` lie on a line, show that: `a/h+b/k=1.`

Explanation

Since the lines A (h, 0), B(a, b) and C(U, k) lie on the same line.

Slope of A B= Slope of B C




`Rightarrow frac[b-0][a-h]=frac[k-b][0-a] `


`Rightarrow fracb[a-h]=frack-b[-a] `

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