Question

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

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

Answer 1

The correct option is C $(0,\frac{1}{b})$

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

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

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