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JEE MATHEMATICS MCQ: COMPLEX NUMBERS

1 Easy
1 of 1
Application +4 | -1
The point (4, 1) undergoes the following three transformations successively (i) Refletion about the line y=xy = x
(ii) Translation through a distance of 2 unit along the positive direction of xx-axis
(iii) Rotation through an angle of π4\frac{\pi }{4} about the origin in the anti-clockwise direction

The final position of the point is
View answer and explanation
Correct option: B
(−12,  72)\left( { - \frac{1}{{\sqrt 2 }},\;\frac{7}{{\sqrt 2 }}} \right)
Option B (−12,;72)\left( { - \frac{{1}}{{\sqrt 2 }},\\;\frac{{7}}{{\sqrt 2 }}} \right) is correct because it represents the final position of the point after reflection, translation, and rotation.

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