The point (4, 1) undergoes the following three transformation successively i. Reflection about the line ii. Translation through a distance 2 units along the positive direction of -axis iii. Rotation through an angle about the origin in the counterclockwise direction Then the final position of the point is given by the coordinates |
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The point (4, 1) undergoes the following three transformation successively i. Reflection about the line ii. Translation through a distance 2 units along the positive direction of -axis iii. Rotation through an angle about the origin in the counterclockwise direction Then the final position of the point is given by the coordinates |
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a) |
b) |
c) |
d) |
(c)
Reflection about the line , changes the point (4, 1) to (1, 4). On translation of (1,4) through distance of 2 units along direction of -axis the point becomes (1+2, 4), i.e., (3, 4)
On rotation about origin through an angle , the point takes the position such that . Also and . Now,