Applications of Derivatives Test

Result

Applications of Derivatives Test - 66

Score
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Weekly Quiz Competition

Question 1
4 / -1

The area of a rectangle will be maximum for the given perimeter, when rectangle is a

A
Parallelogram

B
Trapezium

C
Square

D
None of these

Solution
Question 2
4 / -1

Of the given perimeter, the triangle having maximum area is

A
Isosceles triangle

B
Right angle triangle

C
Equilateral

D
None of these

Solution
Question 3
4 / -1

The sufficient conditions for the functions f : R → R is to be maximum at x = a will be

A
f’(a) = 0 and f’(a) > 0

B
f’(a) = 0 and f’’(a) = 0

C
f’(a) = 0 and f’’(a) < 0

D
f’(a) > 0 and f’’(a) < 0

Solution
Question 4
4 / -1

Divide 12 into two parts such that the product of the square on one part and the fourth of the second part is maximum

A
6, 6

B
5, 7

C
4, 8

D
3, 9

Solution
Question 5
4 / -1

A
Min. at x = 0

B
Max at x = 0

C
Neither min . nor max. at x = 0

D
None of the above

Solution
Question 6
4 / -1

The point for the curve y = xe^x

A
x = –1 is minimum

B
x = 0 is minimum

C
x = – 1 is maximum

D
x = 0 is maximum

Solution
Question 7
4 / -1

The point (0, 5) is closest to the curve x² = 2y at

A

B
(0, 0)

C
(2, 2)

D
None of these

Solution
Question 8
4 / -1

A

B

C

D

Solution
Question 9
4 / -1

A
(–3, 19)

B
(3, 19)

C
(–19, 3)

D
(–19,–3)

Solution
Question 10
4 / -1

The sum of two numbers is fixed. Then its multiplication is maximum, when

A
Each number is half of the sum

B

C

D
None of the above

Solution