1
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The acceleration of a particle starting from rest moving in a straight line with uniform acceleration is 8m/sec2. The time taken by the particle to move the second metre is

A
$${{\sqrt 2 - 1} \over 2}$$ sec
B
$${{\sqrt 2 + 1} \over 2}$$ sec
C
$$(1 + \sqrt 2 )$$ sec
D
$$(\sqrt 2 - 1)$$ sec
2
WB JEE 2023
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A missile is fired from the ground level rises x meters vertically upwards in t sec, where $$x = 100t - {{25} \over 2}{t^2}$$. The maximum height reached is

A
100 m
B
300 m
C
200 m
D
125 m
3
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

The portion of the tangent to the curve $${x^{{2 \over 3}}} + {y^{{2 \over 3}}} = {a^{{2 \over 3}}},a > 0$$ at any point of it, intercepted between the axes

A
varies as abscissa
B
varies as ordinate
C
is constant
D
varies as the product of abscissa and ordinate
4
WB JEE 2023
MCQ (Single Correct Answer)
+2
-0.5
Change Language

Given $$f(x) = {e^{\sin x}} + {e^{\cos x}}$$. The global maximum value of $$f(x)$$

A
does not exist.
B
exists at a point in $$\left( {0,{\pi \over 2}} \right)$$ and its value is $$2{e^{{1 \over {\sqrt 2 }}}}$$.
C
exists at infinitely many points.
D
exists at $$x=0$$ only.
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