Question

If a > 0 and b < 0, then the image of (a, b) in y-axis lies in _________quadrant.

Answer 1

Under reflection of a point in the y-axis, the ordinate of the point remains unchanged while the sign of the abscissa is changed. So, the image of the point (x, y) in the y-axis is (−x, y).

If a > 0 and b < 0, then the point (a, b) lies in the fourth quadrant.

The coordinates of the image of point (a, b), where a > 0 and b < 0, in the y-axis are of the form (a, b), where a < 0 and b < 0.

Now, for a < 0 and b < 0, the point (a, b) lies in the third quadrant.

If a > 0 and b < 0, then the image of (a, b) in y-axis lies in __third__ quadrant.