WB JEE 2009 | Application of Derivatives Question 4 | Mathematics

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The Rolle's theorem is applicable in the interval $$-$$1 $$\le$$ x $$\le$$ 1 for the function

f(x) = x

f(x) = x²

f(x) = 2x³ + 3

f(x) = |x|

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The distance covered by a particle in t seconds is given by x = 3 + 8t $$-$$ 4t². After 1 second its velocity will be

0 unit/second

3 units/second

4 units/second

7 units/second

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

If the rate of increase of the radius of a circle is 5 cm/sec., then the rate of increase of its area, when the radius is 20 cm, will be

10$$\pi$$

20$$\pi$$

200$$\pi$$

400$$\pi$$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

Angle between y² = x and x² = y at the origin is

$$2{\tan ^{ - 1}}\left( {{3 \over 4}} \right)$$

$${\tan ^{ - 1}}\left( {{4 \over 3}} \right)$$

$$\pi$$/2

$$\pi$$/4

WB JEE Subjects