Differentiation Test

Result

Differentiation Test - 57

Score
-
out of -
Rank
-
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
2

B
4

C
6

D
1

Solution
Question 2
4 / -1

A

B

C

D
None of these

Solution
Question 3
4 / -1

A

B

C
0

D

Solution
Question 4
4 / -1

A stone, thrown vertically upward from the surface of the moon at a velocity of 24 m/sec reaches a height of s = 24 t — O.8t² metre after t second. The acceleration due to gravity in m/sec² at the surface of the moon is

A
0.8

B
1.6

C
2.4

D
4.9

Solution
Question 5
4 / -1

A
Proportional to t

B
Proportional to s

C
Proportional to s^-3

D
None of thes

Solution
Question 6
4 / -1

On dropping a stone in stationary water circular ripples are observed. Rate of flow of ripples if 6 cm/sec. When radius of the circle is 10 cm, then fluid rate of increase in its area is

A
120 sq. cm/sec

B
12 sq. cm/sec

C
π sq. cm/sec

D
120 π sq. cm/sec

Solution
Question 7
4 / -1

For the curve yⁿ = a^{n - 1}x, the subnormal at any point is constant. The value of n must be

A
2

B
3

C
0

D
1

Solution
Question 8
4 / -1

The abscissae of the points of curve y = x(x –2) (x – 4) : where tangents are parallel to x-axis is obtained as

A

B

C

D

Solution
Question 9
4 / -1

The length of sub-tangent to the curve x²y² = a⁴ at the point (—a, a) is

A
3a

B
2a

C
a

D
4a

Solution
Question 10
4 / -1

he triangle formed by the tangent to the curve f(x) = x² + bx – b at the point (1, 1) and the co-ordinate axes, lies in the first quad rant. If its area is 2 then the value of b i

A
–1

B
3

C
–3

D
1

Solution