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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

a)

b)

c)

d)



Question ID - 52957 | SaraNextGen Top Answer

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)

1 Answer
127 votes
Answer Key / Explanation : (c) -

(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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