Question

The line $\frac{x}{a}+\frac{y}{b}-\frac{1}{ab}=0$, will meet the y- axis at ____.

• A. $(0,\frac{1}{a})$
• B. $(\frac{1}{a},0)$
• C. $(\frac{1}{b},0)$
• D. $(0,\frac{1}{b})$

Answer 1

The correct option is B $(\frac{1}{a},0)$

The x-coordinate of the point at which the line meets the y- axis will be zero.

Substituting x = 0 in
$\frac{x}{a}+\frac{y}{b}-\frac{1}{ab}=0\to \frac{y}{b}=\frac{1}{ab}y=\frac{1}{a}$

The line $\frac{x}{a}+\frac{y}{b}-\frac{1}{ab}=0$ meet the x- axis at $(0,\frac{1}{a})$