JEE Questions for Maths Limits Continuity And Differentiability Quiz 18 - MCQExams.com

Maths-Limits Continuity and Differentiability-37091.png

0%
1
0%
–1
0%
0
0%
e

Maths-Limits Continuity and Differentiability-37093.png

0%
For all real values of x
0%
For x = 2 only
0%
For all real values of x such that x ≠ 2
0%
For all integral values of x only

Maths-Limits Continuity and Differentiability-37095.png

0%
0,2
0%
1,1
0%
2,0
0%
2,1

Maths-Limits Continuity and Differentiability-37097.png

0%
1
0%
–1
0%
0
0%
2

Maths-Limits Continuity and Differentiability-37099.png

0%
Equal to 0
0%
Equal to 1
0%
Equal to –1
0%
Indeterminate

In order that the function f(x) = (x + 1)^{cot x} is continuous at x = 0, f(must be defined as

0%
0%
f(= 0
0%
f(= e
0%
None of these

Maths-Limits Continuity and Differentiability-37103.png

0%
–2
0%
–4
0%
–6
0%
–8

Maths-Limits Continuity and Differentiability-37105.png

0%
k = 0
0%
k = 1
0%
k = –1
0%
None of these

Maths-Limits Continuity and Differentiability-37107.png

0%
–1
0%
1
0%
0
0%
2

Maths-Limits Continuity and Differentiability-37109.png

0%
4
0%
3
0%
2
0%
1

Maths-Limits Continuity and Differentiability-37111.png

0%
∞
0%
1
0%
0
0%
None of these

Maths-Limits Continuity and Differentiability-37112.png

0%
3
0%
0
0%
– 6
0%
1/6

Maths-Limits Continuity and Differentiability-37114.png

0%
a3/2
0%
a1/2
0%
– a1/2
0%
– a3/2

Maths-Limits Continuity and Differentiability-37116.png

0%
–4
0%
–3
0%
–2
0%
–1

Maths-Limits Continuity and Differentiability-37118.png

0%
0%
2)
0%
0%
1

Maths-Limits Continuity and Differentiability-37123.png

0%
0
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37128.png

0%
Continuous at x = –1
0%
Continuous at x = 0
0%
0%
All of these

Maths-Limits Continuity and Differentiability-37131.png

0%
2
0%
1/3
0%
2/3
0%
–1/3

Maths-Limits Continuity and Differentiability-37133.png

0%
f(|x|) is continuous at x = 0
0%
f(x) is continuous at x = 0
0%
f(x) is discontinuous at x = 0
0%
None of the above

Maths-Limits Continuity and Differentiability-37135.png

0%
1
0%
0
0%
–1
0%
2

Maths-Limits Continuity and Differentiability-37137.png

0%
A = 0
0%
A = 1
0%
A = –1
0%
A = 2

Maths-Limits Continuity and Differentiability-37139.png

0%
–1
0%
1
0%
0
0%
2

Maths-Limits Continuity and Differentiability-37141.png

0%
0
0%
–1
0%
1
0%
e

f(x) = x sin (π/x) is continuous everywhere, then f(=

0%
– 1
0%
1
0%
0
0%
All of these

Maths-Limits Continuity and Differentiability-37144.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37150.png

0%
–1
0%
1/2
0%
–2
0%
None of these

Maths-Limits Continuity and Differentiability-37152.png

0%
tan 2θ
0%
sec 2θ
0%
cos 2θ
0%
cot 2θ

Maths-Limits Continuity and Differentiability-37154.png

0%
1
0%
0
0%
–1
0%
sin log x . cos log y

The function f : X → Y defined by f(x) = sin x is one-one but not onto if X and Y are respectively equal to

0%
IR and IR
0%
[0,π] and [0,1]
0%
0%

Maths-Limits Continuity and Differentiability-37159.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37165.png

0%
– 2
0%
–1
0%
1/2
0%
None of these

Maths-Limits Continuity and Differentiability-37167.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37173.png

0%
0%
2)
0%
0%

Let f : R → R be defined as f(x) = 2x + |x|, then f(2x) + f(–x) – f(x) =

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2x
0%
2|x|
0%
–2x
0%
–2|x|

If f(x + ay , x – ay) = axy, then f(x,y) is equal to

0%
xy
0%
x2 – a2y2
0%
0%

Maths-Limits Continuity and Differentiability-37183.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37189.png

0%
0.5
0%
0.6
0%
0.7
0%
0.8

Maths-Limits Continuity and Differentiability-37191.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37197.png

0%
0%
2)
0%
0%

Maths-Limits Continuity and Differentiability-37203.png

0%
1
0%
–1
0%
2
0%
–2

Maths-Limits Continuity and Differentiability-37204.png

0%
4
0%
2
0%
3
0%
0

The funtion f : R → R is given by f(x) = x³ – 1 is

0%
A one-one function
0%
An onto function
0%
A bijection
0%
Neither one-one nor onto

The function which map [-1, 1] to [0,2] are

0%
One linear function
0%
Two linear function
0%
Circular function
0%
None of these

Maths-Limits Continuity and Differentiability-37207.png

0%
A rational function
0%
A trigonometric function
0%
A step function
0%
An exponential function

The funtion f : R → R defined as f(x) = (x –(x – 2)(x –is

0%
One-one but not onto
0%
Onto but not one-one
0%
Both one-one and onto
0%
Neither one-one nor onto

Let R and C denote the set of real numbers and complex numbers respectively. The function f : C → R defined by f(z) = |z| is

0%
One to one
0%
Onto
0%
Bijective
0%
Neither one to one nor onto

For real x, let f(x) = x³ + 5x + 1, then

0%
f is one-one but not onto R
0%
f is onto R but not one-one
0%
f is one-one and onto R
0%
f is neither one-one nor onto R

Let X and Y be subsets of R, the set of all real numbers. The function f : X → Y defined by f(x) = x² for x ∈ X is one-one but not onto if (Here R⁺ is the set of all positive real numbers)

0%
X = Y = R+
0%
X = R, Y = R+
0%
X = R+, Y = R
0%
X = Y = R

Maths-Limits Continuity and Differentiability-37213.png

0%
f is one-one onto
0%
f is one-one into
0%
f is many one onto
0%
f is many one into

Maths-Limits Continuity and Differentiability-37215.png

0%
One-one into
0%
One-one onto
0%
Many one into
0%
Many one onto

0:0:1

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