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Practice MCQ Questions for class 11 Maths Chapter-Wise
1. If f(x) = (a – x)1/n, a > 0 and n ∈ N, then the value of f(f(x)) is
(a) 1/x
(b) x
(c) x2
(d) x1/2
2. The domain of the definition of the real function f(x) = \(\sqrt{(log_{12}x^2)}\) of the real variable x is
(a) x > 0
(b) |x| ≥ 1
(c) |x| > 4
(d) x ≥ 4
3. Assertion: If f(x) is an odd function, then f′(x) is an even function
Reason: If f' (x) is an even function, then f(x) is an odd function.
(a) Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
(b) Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
(c) Assertion is correct but Reason is incorrect
(d) Both Assertion and Reason are incorrect
4. If f(x) is an odd differentiable function on R, then df(x)/dx is a/an
(a) Even function
(b) Odd function
(c) Either even or odd function
(d) Neither even nor odd function
5. The domain of the function \(f(x)= \frac{1}{\sqrt{x^2-3x+2}}\) is
(a) (−∞,1)
(b) (−∞,1)∪(2,∞)
(c) (−∞,1]∪[2,∞)
(d) (2,∞)
6. The domain of tan-1 (2x + 1) is
(a) R
(b) R -{1/2}
(c) R -{-1/2}
(d) None of these
7. The function f(x) = x – [x] has period of
(a) 0
(b) 1
(c) 2
(d) 3
8. A relation R is defined from the set of integers to the set of real numbers as (x, y) = R if x2 + y2 = 16 then the domain of R is
(a) (0, 4, 4)
(b) (0, -4, 4)
(c) (0, -4, -4)
(d) None of these
9. Find the number of binary operations on the set {a,b}
(a) 10
(b) 16
(c) 20
(d) 8
10. Let n(A)=n. Then the number of all relations on A is
(a) 2n
(b) 2(n)!
(c) 2n2
(d) none
11. If f (x) = ax + b and g (x) = cx + d, then f {g (x)} = g {f (x)} is equivalent to
(a) f(a) = g(c)
(b) f(b) = g (b)
(c) f(d) = g (b)
(d) none
12. If f is an even function and g is an odd function the fog is a/an
(a) Even function
(b) Odd function
(c) Either even or odd function
(d) Neither even nor odd function
13. If n is the smallest natural number such that n + 2n + 3n + …. + 99n is a perfect square, then the number of digits in square of n is
(a) 1
(b) 2
(c) 3
(d) 4
14. The number of relations from A={1,2,3} to B={4,6,8,10} is
(a) 43
(b) 27
(c) 212
(d) 34
15. The number of relations from A={1,2,3,4,8} to B={4,6,8,} is
(a) 43
(b) 215
(c) 212
(d) 314
16. If f :Z→Z is defined by f(x)= \(f(x)=\begin{cases} \frac{x}{2}\;if\;x\;is\;even & \\ 0\;if\;x\;is\;odd \end{cases}\) then f is
(a) Onto but not one to one
(b) One to one but not onto
(c) One to one and onto
(d) Neither one to one nor onto
17. Express the function f: A—R. f(x) = x2 – 1. where A = { -4, 0, 1, 4) as a set of ordered pairs.
(a) {(-4, 15), (0, -1), (1, 0), (4, 15)}
(b) {(-4, -15), (0, -1), (1, 0), (4, 15)}
(c) {(4, 15), (0, -1), (1, 0), (4, 15)}
(d) {(-4, 15), (0, -1), (1, 0)
18. f : R→R is a function defined by f(x)=10x−7. If g=f −1 then g(x)=
(a) \(\frac{1}{10x-7}\)
(b) \(\frac{1}{10x+7}\)
(c) \(\frac{x+7}{10}\)
(d) \(\frac{x-7}{10}\)
19. Let R be the relation in the set N given by = {(a, b): a = b - 2, b > 6}. Choose the correct answer
(a) (2,4)ϵR
(b) (3,8)ϵR
(c) (6,8)ϵR
(d) (8,7)ϵR
20. If the graph of the function y=f(x) is symmetrical about the line x=2, then
(a) f(x+2)=f(x−2)
(b) f(x−2)=f(2−x)
(c) f(x)=f(−x)
(d) f(x)=−f(−x)