Question

Find the point where the line meet y-axis. √2 x - √3 y = 0 √3 x - √8 y = 0

Answer 1

Answet: At origin.

At y-axis, the abscissa is zero.

Substituting x=0 in the line;

$\sqrt{2} x - \sqrt{3} y = 0 \\ We \: get\:\sqrt{2} (0) - \sqrt{3} y = 0 \\ - \sqrt{3} y = 0 \\ y = 0$

Similarly, substituting x=0 in the line;

$\sqrt{3} x - \sqrt{8} y = 0 \\We\:get \:\sqrt{3} (0) - \sqrt{8} y = 0 \\ - \sqrt{8} y = 0 \\ y = 0$

Thus, both the lines meet the y-axis at the point (0,0) i.e., at the origin.