Find the co-ordinates of the points obtained on rotating the following points through 90° about origin in the anticlockwise direction:

(i) (4, 6)

(ii) (4, -6)

(iii) (-4, 6)

(iv) (-4, -6)

(v) (0, 6)

(i) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

For the point (4, 6) in axis = (-6, 4).

(ii) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

For the point (4, - 6), after rotation, the new coordinates become (6, 4).

(iii) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

For the point (-4, 6), after rotation, the new coordinates become (-6, -4).

(iv) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

For the point (-4, -6), after rotation, the new coordinates become (6, -4).

(v) When a point P(x, y) is rotated through 90° (anticlockwise) about the origin O, we get the point P' = (-y, x).

For the point (0, 6), after rotation, the new coordinates become (-6, 0).