WB JEE 2020 | Application of Derivatives Question 37 | Mathematics

PREVIOUS NEXT

WB JEE 2020

MCQ (Single Correct Answer)

-0.5

Consider the curve $$y = b{e^{ - x/a}}$$, where a and b are non-zero real numbers. Then

$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (0, 0)

$${x \over a} + {y \over b}$$ = 1 is tangent to the curve, where the curve crosses the axis of y

$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (a, 0)

$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (2a, 0)

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

If the radius of a spherical balloon increases by 0.1%, then its volume increases approximately by

0.2%

0.3%

0.4%

0.05%

WB JEE 2018

MCQ (Single Correct Answer)

-0.25

The law of motion of a body moving along a straight line is x = $${1 \over 2}$$ vt. x being its distance from a fixed point on the line at time t and v is its velocity there. Then

acceleration f varies directly with x

acceleration f varies inversely with x

acceleration f is constant

acceleration f varies directly with t

WB JEE 2018

MCQ (Single Correct Answer)

-0.5

A ladder 20 ft long leans against a vertical wall. The top end slides downwards at the rate of 2 ft per second. The rate at which the lower end moves on a horizontal floor when it is 12 ft from the wall is

$${{ - 8} \over 3}$$

$${6 \over 5}$$

$${3 \over 2}$$

$${17 \over 4}$$

PREVIOUS NEXT

WB JEE Subjects