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CGP EDU Academic Team
Published on: August 12, 2026
The point P(a,b) undergoes the following three transformations successively:
A
reflection about the line y = x. 13
B
translation through 2 units along the positive direction of x-axis. 9
C
rotation through angle 
about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are 
, then the value of 2a+b is equal to : 5
about the origin in the anti-clockwise direction. If the co-ordinates of the final position of the point P are , then the value of 2a+b is equal to : 5
D
7
Text Solution
Verified by ExpertsThe correct answer is:
B
Image of A(a, b) along y = x is B(b, a). Translating it 2 units it becomes C(b + 2, a).
Now, applying rotation theorem
⇒ b − a + 2 = −1
and b + 2 + a = 7
⇒ a = 4; b = 1
⇒ 2a + b = 9
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