Published by:
CGP EDU Academic Team
Published on: August 14, 2026
ABCD is a square whose vertices are A(0, 0), B(2, 0), C(2, 2) and D(0, 2). The square is rotated in the XY-plane through an angle 30 0 in the anti-clockwise sense about an axis passing though A perpendicular to the XY-plane. The equation of the diagonal BD of this rotated square is-
A
(2 – 
) x + y = 2 
– 2
) x + y = 2 – 2
B
(2 + 
) x + y = 2 
– 1
) x + y = 2 – 1
C
(2 – 
) x – y = 2 
– 4
) x – y = 2 – 4
D
(2 – 
) x – y = 2 
+ 1
) x – y = 2 + 1
Text Solution
Verified by ExpertsThe correct answer is:
A
We have, (see fig.)
B ≡ (2 cos 30 0 , 2 sin 30 0 ) = ( 
, 1)
D ≡ (–2 sin 30 0 , 2 cos 30 0 ) = (–1, 
)
Hence, equation of BD is
y – 1 = 
(x – 
)
= ( 
– 2) (x – 
)
i.e. (2 – 
) x + y = 2 
– 2.
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