1
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
In open interval $$\left( {0,\,{\pi \over 2}} \right)$$
A
cos x + x sin x < 1
B
cos x + x sin x >1
C
no specific order relation can be ascertained between cos x + x sin x and 1
D
$$\cos \,x + x\,\sin \,x < {1 \over 2}$$
2
WB JEE 2020
MCQ (Single Correct Answer)
+2
-0.5
Change Language
Consider the curve $$y = b{e^{ - x/a}}$$, where a and b are non-zero real numbers. Then
A
$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (0, 0)
B
$${x \over a} + {y \over b}$$ = 1 is tangent to the curve, where the curve crosses the axis of y
C
$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (a, 0)
D
$${x \over a} + {y \over b}$$ = 1 is tangent to the curve at (2a, 0)
3
WB JEE 2019
MCQ (Single Correct Answer)
+1
-0.25
Change Language
If the radius of a spherical balloon increases by 0.1%, then its volume increases approximately by
A
0.2%
B
0.3%
C
0.4%
D
0.05%
4
WB JEE 2018
MCQ (Single Correct Answer)
+1
-0.25
Change Language
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
A
acceleration f varies directly with x
B
acceleration f varies inversely with x
C
acceleration f is constant
D
acceleration f varies directly with t
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