Question

The line $ax+by=a^2{b}^2$, will meet the x- axis at ____.

• A. $(0,a{b}^2)$
• B. $(a,b)$
• C. $(a{b}^2,0)$
• D. $(a^2{b}^2,0)$

Answer 1

The correct option is C $(a{b}^2,0)$

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

Substituting y = 0 in
$ax+by=a^2{b}^2\to ax=a^2{b}^2\to x=a{b}^2$

The line $ax+by=a^2{b}^2$ meet the x- axis at $(a{b}^2,0)$