Question

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

Answer 1

Step-by-step explanation:

$line \: joining \: the \: two \: points \\ (h \:, 0) \: and \: (0 \:, k) \: is \: \\ y - 0 = \frac{k}{ - h} (x - h) \\ - yh = kx - kh \\ kx + yh = kh \\ \frac{x}{h} + \frac{y}{k} = 1\\ this \: line \: passes \: through \: (a \:, b) \\ \frac{a}{h} + \frac{b}{k} = 1 \\ \\ hence \: proved \: \\ \\ hope \: it \: will \: help \: you \:$