WB JEE 2020 | Application of Derivatives Question 36 | Mathematics

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WB JEE 2020

MCQ (Single Correct Answer)

-0.5

In open interval $$\left( {0,\,{\pi \over 2}} \right)$$

cos x + x sin x < 1

cos x + x sin x >1

no specific order relation can be ascertained between cos x + x sin x and 1

$$\cos \,x + x\,\sin \,x < {1 \over 2}$$

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

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