Mathematics

Mathematics

Problem

The point (4, 1) undergoes the following three transformations successively - (A) (72,−12)\left(\frac{7}{\sqrt{2}}, -\frac{1}{\sqrt{2}}\right) (B) (72,12)\left(\frac{7}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right) (C) (−12,72)\left(-\frac{1}{\sqrt{2}}, \frac{7}{\sqrt{2}}\right) (D) None of these a. Reflection about the line y=xy = x b. Translation through a distance 2 units along the positive directions of x-axis. c. Rotation through an angle π4\frac{\pi}{4} about the origin. The final position of the point is given by the coordinates :

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