MATHEMATICS SECTION-A The point {P}({a}, {b}) undergoes the following three transformations successively : (a) reflection about the line {y}={x}. (b) translation through 2 units along the positive direction of x-axis. (c) rotation through angle \frac{\\pi}{4} about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the pointP are (-{1}/{\\sqrt{2}, {7}/{\\sqrt{2}), then the value of 2 {a}+{b} is equal to : [27 Jul 2021 Shift 2]

Straight Lines and Pair of Straight Lines Part 1

Section: Mathematics

Question : 14 of 100

Marks: +1, -0

MATHEMATICS

SECTION-A

The point P(a,b) undergoes the following three transformations successively :
(a) reflection about the line y=x.
(b) translation through 2 units along the positive direction of x-axis.
(c) rotation through angle

about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the pointP are (−

√2

), then the value of 2a+b is equal to :

[27 Jul 2021 Shift 2]

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