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 a) b) c) d)

Question ID - 52957 :- 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 a) b) c) d)

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(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,

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 Line  has intercepts  and  on the coordinates axes. When the axes are rotated through a given angle keeping the origin fixed, the same line  has intercepts  and . Then, a) b) c) d)