WB JEE 2008 | Application of Derivatives Question 1 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

A particle is projected vertically upwards and is at a height h after t₁ seconds and again after t₂ seconds then

$$h = g{t_1}{t_2}$$

$$h = {1 \over 2}g{t_1}{t_2}$$

$$h = {2 \over g}{t_1}{t_2}$$

$$h = \sqrt {g{t_1}{t_2}} $$

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

The equation of the tangent to the conic $${x^2} - {y^2} - 8x + 2y + 11 = 0$$ at (2, 1) is

x + 2 = 0

2x + 1 = 0

x + y + 1 = 0

x $$-$$ 2 = 0

WB JEE 2009

MCQ (Single Correct Answer)

-0.25

A particle is moving in a straight line. At time t, the distance between the particle from its starting point is given by x = t $$-$$ 6t² + t³. Its acceleration will be zero at

t = 1 unit time

t = 2 unit time

t = 3 unit time

t = 4 unit time

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 Subjects