Question

The points $(3,3)(h,0)$ and $(0,k)$ are collinear, if $\frac{1}{h}+\frac{1}{k}$ is equal to

• A. $\frac{1}{2}$
• B. $\frac{1}{3}$
• C. $1$
• D. $2$

Answer 1

The correct option is B $\frac{1}{3}$

A line is passing through $(3,3),(h,0),(0,k)$ due to they are collinear.

Its $x$-intercept is $h$ and $y$-intercept is $k$.

Line intercept form is $\frac{x}{h}+\frac{y}{k}=1$

Line pass through $(3,3)\Rightarrow \frac{3}{h}+\frac{3}{k}=1$

$\Rightarrow \frac{1}{h}+\frac{1}{k}=\frac{1}{3}$

So, answer is option B.