JEE Questions for Maths Sets Relations And Functions Quiz 7 - MCQExams.com

Maths-Sets Relations and Functions-49877.png

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Q(lm)
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Q(l + m)
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2(l – m)
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None of these

Maths-Sets Relations and Functions-49879.png

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(1, 4)
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(–2, 4)
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(2, 4)
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None of these

Maths-Sets Relations and Functions-49881.png

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[4, 5]
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[–5, –4]
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[–1, 1]
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[0, 1]

Maths-Sets Relations and Functions-49883.png

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[1,∞]
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[2,∞]
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0%
None of these

Maths-Sets Relations and Functions-49886.png

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[2, 5]
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[1, 5]
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[3, 5]
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None of these

Let f(x) be a function whose domain is [–5, 7]. Let g(x) = | 2x + 5 |.Then domain of (fog)(x) is

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[–4, 1]
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[–5, 1]
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[–6, 1]
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None of these

Maths-Sets Relations and Functions-49889.png

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a circle
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an ellipse
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a st. line
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a pair of st. lines

Let f : (–∞, 1] → (∞, 1] such that f(x) = x (2 − x). Then f^–1 (x) is

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0%
2)
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None of these

If f(x) and g(x) are two functions of x such that f(x) + g(x) = e^–x and f(x) − g(x) = e^–x, then

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f(x) is odd, g(x) is odd
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f(x) is even, g(x) is even
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f(x) is even, g(x) is odd
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f(x) is odd, g(x) is even

If e^x + e^f(x) = e, then for f(x)

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Df = (−∞, 0], Rf = (−∞, 0]
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Df = (−∞, 1), Rf = (−∞,
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Df = (−∞, 0), Rf = (−∞,
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Df = (−∞, 1], Rf = (−∞, 1]

Maths-Sets Relations and Functions-49897.png

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0%
2)
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0%

Let f(x) = x², 0 < x < 2
= 2x – 3, 2 ≤ x < 3
= x + 2, x ≥ 3. Then

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0%
2)
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0%

Maths-Sets Relations and Functions-49908.png

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2π
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π
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4π
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None of these

Maths-Sets Relations and Functions-49910.png

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1
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2
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3
0%
π

Maths-Sets Relations and Functions-49912.png

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0%
2)
0%
0%
None of these

Maths-Sets Relations and Functions-49917.png

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0%
2)
0%
0%

Maths-Sets Relations and Functions-49923.png

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R
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{0}
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{0, 2}
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None of these

The range of the function where[x] = sin {xe^{x} + x² – x], x ϵ (–1, ∞) denotes the greatest integer function is

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Φ
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[0, 1]
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[−1, 1]
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R

Maths-Sets Relations and Functions-49926.png

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6
0%
24
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8
0%
2π

The function f : R → R defined by f(x) = 6x + 6|x| is

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one − one and onto
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many − one and onto
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one − one and into
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many − one and into

Maths-Sets Relations and Functions-49929.png

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(–2, 5]
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(–2,
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(– ∞, –∪ (5, ∞)
0%
(–2,

Maths-Sets Relations and Functions-49931.png

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[–6, 6]
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[6, ∞)
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[–6, 3]
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[–3, 6]

Maths-Sets Relations and Functions-49933.png

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0%
2)
0%
0%

Maths-Sets Relations and Functions-49939.png

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0%
2)
0%
0%

The domain of the function f(x) = log₁₀ log₁₀ log₁₀…log₁₀ x (n times) is

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[10n, ∞)
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(10n−1, ∞)
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(10n−2, ∞)
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None of these

Maths-Sets Relations and Functions-49946.png

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0%
2)
0%
0%
None of these

Maths-Sets Relations and Functions-49951.png

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0%
not defined for all x
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defined for only positive x
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none of these

Maths-Sets Relations and Functions-49954.png

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0%
2)
0%
0%

Maths-Sets Relations and Functions-49960.png

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0%
2)
0%
0%
None of these

Maths-Sets Relations and Functions-49965.png

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–1
0%
1
0%
2
0%
3

Maths-Sets Relations and Functions-49967.png

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0%
2)
0%
0%
None of these

Maths-Sets Relations and Functions-49972.png

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R
0%
R – [0]
0%
0%
None of these

Maths-Sets Relations and Functions-49975.png

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0%
2)
0%
0%
None of these

Maths-Sets Relations and Functions-49980.png

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( − ∞, 4]
0%
[3, ∞)
0%
( –∞, 1] ∪ [3, 4] ∪ [4. 5, ∞)
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[3, 4] ∪ [4. 5, ∞)

Maths-Sets Relations and Functions-49982.png

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R –{–1, 1}
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(− ∞,
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(– ∞, −1] ∪ [0,
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None of these

Maths-Sets Relations and Functions-49984.png

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[6, 8]
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[2, 4]
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[4, 6]
0%
None of these

Maths-Sets Relations and Functions-49986.png

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R
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2)
0%
0%
None of these

Maths-Sets Relations and Functions-49990.png

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2
0%
1
0%
3
0%
4

Maths-Sets Relations and Functions-49992.png

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1
0%
0
0%
–1
0%
2

Maths-Sets Relations and Functions-49994.png

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0
0%
1
0%
–1
0%
None of these

Maths-Sets Relations and Functions-49996.png

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0%
2)
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does not exist ∵f is not one −one
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does not exist ∵ f is not onto

Maths-Sets Relations and Functions-50000.png

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0%
2)
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0%

Let f(x) = − 1 + | x − 1 |, − 1 ≤ x ≤ 3 and g(x) = 2−| x +1|, −2 ≤ x ≤ 2. Then (fog) (x) =

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x + 1
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− 1 − x
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x − 1
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Maths-Sets Relations and Functions-50008.png

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[1, ∞)
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[2, ∞)
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[3, ∞)
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None of these

If the function f: [1, ∞) → [1, ∞) is defined by f(x) = 2x(x −1), then f⁻¹(x) is

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0%
2)
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Not defined

The domain of definition of the function y(x) given by the equation 2^x + 2^y = 2 is

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0 < x ≤ 1
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0 ≤ x ≤ 1
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− ∞ < x ≤ 0
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− ∞ < x < 1

Let f(θ) = sin θ (sin θ + sin 3θ), then f(θ)

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≥ 0 only when θ ≥ 0
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≤ 0 for all θ
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≥ 0 for all real θ
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≤ 0 only when θ ≤ 0

Maths-Sets Relations and Functions-50016.png

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0%
2)
0%
0%

Maths-Sets Relations and Functions-50022.png

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[0,1]
0%
2)
0%
(0,1)
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None of these

Maths-Sets Relations and Functions-50025.png

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1
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2
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3
0%
4

0:0:1

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Not Answered

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