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Straight Lines and Pair of Straight Lines question

2021 · 27 Jul · Shift 2 · Q23
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  5. /2021 · 27 Jul · Shift 2 · Q23

Straight Lines and Pair of Straight Lines question

2021 · 27 Jul · Shift 2 · Q23

JEE MainMathematicsStraight Lines and Pair of Straight LinesMCQ+4 / −1
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 π4{\pi \over 4}4π​ about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are (−12,72)\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)(−2​1​,2​7​), then the value of 2a + b is equal to :
  1. A
    13
  2. B
    9
  3. C
    5
  4. D
    7
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