# 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) 3537

(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,        Next Question :
 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)  