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WBJEE 2019 Math Solved Paper
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© examsnet.com
Question : 36
Total: 75
Let f : R → R be defined by f(x) =
x
2
–
x
2
1
+
x
2
for all x ∊ R. Then
f is one-one but not onto mapping
f is onto but not one-one mapping
f is both one-one and onto
f is neither one-one nor onto
Validate
Solution:
(D)
f(x) =
x
4
1
+
x
2
f(x) is even function hence it is many one
Also f(x) ≥ 0 ∀ x ∊ R, hence it is into function ⇒ f(x) is neither one - one nor onto
© examsnet.com
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