The point (4, 1) undergoes the following three transformations successively. (I)…
Mathematics · JEE Advanced · NTA Exams — Co-ordinate Geometry
The point (4, 1) undergoes the following three transformations successively.
(I) Reflection about the line y = x
(II) Transformation through a distance 2 unit along the positive direction of x-axis.
(III) Rotation through an angle \(\frac{\pi}{4}\) about the origin in the counter clockwise direction.
Then, the final position of the point is given by the coordinates.
(I) Reflection about the line y = x
(II) Transformation through a distance 2 unit along the positive direction of x-axis.
(III) Rotation through an angle \(\frac{\pi}{4}\) about the origin in the counter clockwise direction.
Then, the final position of the point is given by the coordinates.
- \(\left(\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)\)
- \((-\sqrt{2}, 7 \sqrt{2})\)
- \(\left(-\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right)\)
- \((\sqrt{2}, 7 \sqrt{2})\)
Answer
(C) (- 1 2 , 7 2 )
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