The point (4, 1) undergoes the followingthree transformations successively. (i) reflection about the line y=x(ii) transformation through a distance 2 units along thepositive direction of x- axis (iii) rotation through an angle p/4 about the origin inthe counter clockwise direction. Then the final positionof the point is given by the coordinates
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answer is 3.
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Detailed Solution
Reflection of the point (4, 1) about the line y=x is (1,4) which is transfered to the point (3,4) at a distance 2units along the positive direction of x- axis Finally a rotation through an angle π/4 takes it to(3cos(π/4)−4sin(π/4)),(3sin(π/4)+4cos(π/4))=−12,72
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The point (4, 1) undergoes the followingthree transformations successively. (i) reflection about the line y=x(ii) transformation through a distance 2 units along thepositive direction of x- axis (iii) rotation through an angle p/4 about the origin inthe counter clockwise direction. Then the final positionof the point is given by the coordinates