Published by:
CGP EDU Academic Team
Published on: August 12, 2026
A vector 
has components 2p and 1 with respect to a rectangular cartesian system. The system is rotated through a certain angle about the origin in the counterclockwise sense. If with respect to the new system, 
has components p + 1 and 1, then
A
p = − 
B
p = 1
C
p = − 1
D
p = 
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(a,b) Before rotation 
after rotation 
. Since length of vector remains unaltered
= 
⇒ 4p 2 = (p + 1) 2
⇒ p + 1 = ± 2 p ⇒ p = 1 or 
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