Jee Main
Straight Lines And Pair Of Straight Lines
JEE Main 2021 (Online) 27th July Evening Shift
MCQ+4 / -12021
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 \({\pi \over 4}\) about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the point P are \(\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)\), then the value of 2a + b is equal to :
(a) reflection about the line y = x.
(b) translation through 2 units along the positive direction of x-axis.
(c) rotation through angle \({\pi \over 4}\) about the origin in the anti-clockwise direction.
If the co-ordinates of the final position of the point P are \(\left( { - {1 \over {\sqrt 2 }},{7 \over {\sqrt 2 }}} \right)\), then the value of 2a + b is equal to :