Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let
be two non-zero real numbers. Then the number of elements in the set
:
and
is equal to
Text Solution
Verified by ExpertsThe correct answer is:
B
We have, 

…… . (i)
Also, 
……… . (ii)
From (i) and (ii), we get 
……… .. (iii)
Also, adding (i) and (ii), we get

Case-1: If
, then
……… .. (iv)
From (iii) and (iv), we get
, which is not possible.
Case-2: If
, then infinite number of solutions exist.
, set
has infinite number of elements.
So, number of elements in the set
is 0.
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