TS EAMCET · Maths · Straight Lines
The point \((3,2)\) undergoes the following three transformations in the order given (i) Reflection about the line \(y=x\). (ii) Translation by the distance 1 unit in the positive direction of \(x\)-axis. (iii) Rotation by an angle \(\frac{\pi}{4}\) about the origin in the anti-clockwise direction. Then, the final position of the point is
- A \((-\sqrt{18}, \sqrt{18})\)
- B \((-2,3)\)
- C \((0, \sqrt{18})\)
- D \((0,3)\)
Answer & Solution
Correct Answer
(C) \((0, \sqrt{18})\)
Step-by-step Solution
Detailed explanation
Given point is \((3,2)\). (i) Reflection of point \((3,2)\) about the line \(y=x\) is \((2,3)\). (ii) Translation of a point through 1 unit distance in the positive direction of \(x\)-axis is \((3,3)\). (iii)…
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