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

The area enclosed between y2 = x and y = x is

A
$${2 \over 3}$$ sq. units
B
$${1 \over 2}$$ sq. units
C
$${1 \over 3}$$ sq. units
D
$${1 \over 6}$$ sq. units
2
WB JEE 2011
MCQ (Single Correct Answer)
+1
-0.25

The area bounded by y2 = 4x and x2 = 4y is

A
$${{20} \over 3}$$ sq. units
B
$${{16} \over 3}$$ sq. units
C
$${{14} \over 3}$$ sq. units
D
$${{10} \over 3}$$ sq. units
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If $$x{{dy} \over {dx}} + y = x{{f(xy)} \over {f'(xy)}}$$, then $$|f(xy)|$$ is equal to

A
$$C{e^{{{{x^2}} \over 2}}}$$ (where C is the constant of integration)
B
$$C{e^{{x^2}}}$$ (where C is the constant of integration)
C
$$C{e^{2{x^2}}}$$ (where C is the constant of integration)
D
$$C{e^{{{{x^2}} \over 3}}}$$ (where C is the constant of integration)
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Area of the figure bounded by the parabola $${y^2} + 8x = 16$$ and $${y^2} - 24x = 48$$ is

A
$${{11} \over 9}$$ sq. unit
B
$${{32} \over 3}\sqrt 6 $$ sq. unit
C
$${{16} \over 3}$$ sq. unit
D
$${{24} \over 5}$$ sq. unit
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