Question

If the points $(a,0),\mspace{6mu}(0,b)$ and (1, 1) are collinear, then.

• A. $\frac{1}{a^{2}} + \frac{1}{b^{2}} = 1$
• B. $\frac{1}{a^{2}} - \frac{1}{b^{2}} = 1$
• C. $\frac{1}{a} + \frac{1}{b} = 1$
• D. $\frac{1}{a} - \frac{1}{b} = 1$

Answer 1

Answer: (C)

$\frac{1}{a} + \frac{1}{b} = 1$

Answer 2

$\Rightarrow a b - a - b = 0 \Rightarrow \frac { 1 } { a } + \frac { 1 } { b } = 1$.