JEE Advanced Mix Test 32

Result

JEE Advanced Mix Test 32

Score
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out of -
Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A

B

C

D
None of these

Solution
Question 2
4 / -1

Let f : R → R and g : R → R be two one - one and onto functions such that they are mirror images of each other about the line y = 0, then h (x) = f(x) + g(x) is

A
one - one and onto

B
one - one but not onto

C
not one - one but onto

D
None of these

Solution

f : R → R & g : R →R be two one-one onto functions such that f & g are mirror images of each other about line y = 0. It means one is –ve of the other

i.e. f(x) = – g(x)

⇒ f(x) + g(x) = 0

⇒ h(x) = 0

h(x) is not onto as well as not one-one
Question 3
4 / -1

The function f (x) = (x² – 1) |x² – 3x + 2| + cos |x| is not differentiable at x =

A
-1

B
0

C
1

D
2

Solution
Question 4
4 / -1

The function f (x) = (x – [x]) sin p x is, (where [.] denotes greatest integer function)

A
continous everywhere

B
Differentiable every where

C
Differentiable at x = 0

D
none of these

Solution
Question 5
4 / -1

A
a²  – 3a – 6 < 0

B
a²  – 3a – 6 > 0

C
a²  – 3a – 6 < 0

D
a²  – 3a – 6 > 0

Solution
Question 6
4 / -1

For what values of a, m and b, Lagrange's mean value theorem is applicable to the function f(x) for x [0, 2]

A
a = 3 ; m = – 2 ; b = 0

B
a = 3 ; m = – 2 ; b = 4

C
a = 3 ; m = 2 ; b = 0

D
No such a, m, b exist

Solution
Question 7
4 / -1

does not have critical points if 'a' equal to

A
-2

B
4

C
5

D
All are correct

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A

B

C

D

Solution
Question 10
4 / -1

Which of the following is/are true

A
If f is continuous, then |f| is also continuous

B
If |f| is continuous, then f is also continuous

C
If f is differentiable then f|f| is also differentiable

D
If |f| is differentiable then f is also differentiable

Solution

If f is continuous at a point. Then |f| will also continuous at that point.

If f is differentiable then f|f| will also be differentiable