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Class XII Maths Application of Derivatives Quiz 3

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Question 1

For x > 0, which of the following function is not monotonic -

Question 2

If the function y =

has an extremum at P(2, –1), then the values of a and b are -

Question 3

In a right angled triangle, the hypotenuse increase at the rate of 5 cm/s, all the angles remains constant. At some instant of time, the sides of the triangle are as follows 10cm,

cm, and 20cm. Then consider the following statements:
I. The rate of change of area is

cm/s
II. The rate of change of perimeter is 12cm/s approx
III. The rate of change of area is

cm/s
Select the correct options from the given below:

Question 4

If the volume of the cone is expanding as thrice that of its radius having h = 2/π cm, then radius is:

Question 5

If the function

follows Rolle’s Theorem in the range

, If the value of c is

.Find p

Question 6

The domain of the function is given as

for

. Find c if the function satisfies Rolle’s Theorem in the interval

Question 7

Find the equation of the normal to the curve at the point (6,18) where the curve is an ellipse passing through the point (1,2) and having a major and minor axes as 10 and 8 respectively

Question 8

Consider the following function
f(x) = x⁵ + 4x +1, Then:

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Apr 20JEE & BITSAT