Mathematics
The point (-3, 2) is rotated about origin by 90° in the anticlockwise direction. The resulting point is:
(2, 3)
(2, -3)
(-2, -3)
(3, 2)
Answer
When a point P(x, y) is rotated by 90° in the anticlockwise direction about the origin, the coordinates transform as P'(-y, x).
In this case, when the point (-3, 2) is rotated by 90° in the anticlockwise direction about the origin, we get the point (-2, -3).
Hence, option 3 is the correct option.
Related Questions
The point (k, -k) after reflection in origin becomes (0, 0); the value of k is:
2
1
1
none of these
The point (7, -6) is rotated about origin by 180° in the clockwise direction. The resulting point is:
(-7, -6)
(7, 6)
(-7, 6)
(0, -6)
In each of the following cases, write the transformations as required:
Object Image Transformation (i) (4, -3) (-4, -3) Reflection in y-axis (ii) (-4, 3) (-4, -3) …………… (iii) (-4, -3) (4, 3) …………… (iv) (0, -7) (0, 7) …………… (v) (8, -5) (-8, 5) Rotation through 180° about origin or reflection in origin (vi) (-3, 2) (3, -2) …………… (vii) (5, 8) (-8, 5) …………… (viii) (-7, 4) (4, 7) …………… (ix) (8, 0) (0, -8) …………… (x) (3, -2) (-3, 2) …………… Find the co-ordinates of the following points under reflection in x-axis:
(i) (4, 8)
(ii) (3, -10)
(iii) (-2, 0)