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Point P(2,3) goes through following tran...

Point `P(2,3)` goes through following transformations in successtion:
(i) reflection in line `y=x`
(ii) translation of 4 units to the right
(iii) translation of 5 units up
(iv) reflection in y-axis
Find the coordinates of final position of the point .

Text Solution

Verified by Experts

The correct Answer is:
`(-7,3)`
Given point is P (-2,3).
Changed position P after said transformations are :
(i) reflection in the line `y=x:(3,-2)`
(ii) translation of 4 units to the right : `(3+4,-2)-=(7,-2)`
(iii) translation of 5 units up: `(7,-2+5)-=(7,3)`
(iv)reflection in y-axis: `(-7,3)`
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