Question

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

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

Answer 1

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

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

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

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