Applications of Derivatives Test

Result

Applications of Derivatives Test - 71

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A one of maximum value is inscribed in a given sphere, then ration of the height of the cone to diameter of the sphere is

A

B

C

D

Solution
Question 2
4 / -1

A
More than one minimum

B
Exactly one minimum

C
At least one maximum

D
None of the above

Solution
Question 3
4 / -1

The function f(x) = x + sin x has

A
A minimum but no maximum

B
A maximum but no minimum

C
Neither maximum nor minimum

D
Both maximum and minimum

Solution
Question 4
4 / -1

A

B

C

D

Solution
Question 5
4 / -1

If P = (1,1), Q = (3,2) and R is a point on x - axis then the value of PR + RQ will be minimum at

A

B

C

D

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

Given, P(x) = x⁴ + bx² + cx + d such that x = 0 is the only real root of P’(x) = 0. If P(–1) < P(1), then in the interval [–1, 1]

A
P(–1) is not minimum and P(1) is the maximum of P

B
P(–1) is not minimum but P(1) is the maximum of P

C
P(–1) is the minimum but P(1) is not the maximum of P

D
Neither P(–1) is the minimum nor P(1) is the maximum of P

Solution
Question 8
4 / -1

A
0

B
12

C
16

D
32

Solution
Question 9
4 / -1

A
No maxima and minima

B
One maximum and one minimum

C
Two maxima

D
Two minima

Solution
Question 10
4 / -1

A

B

C
1

D

Solution