WB JEE 2010 | Application of Integration Question 11 | Mathematics

WB JEE 2010

MCQ (Single Correct Answer)

-0.25

The area of the region bounded by y² = x and y = | x | is

$${1 \over 3}$$ sq. unit

$${1 \over 6}$$ sq. unit

$${2 \over 3}$$ sq. unit

1 sq. unit

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

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

$${2 \over 3}$$ sq. units

$${1 \over 2}$$ sq. units

$${1 \over 3}$$ sq. units

$${1 \over 6}$$ sq. units

WB JEE 2011

MCQ (Single Correct Answer)

-0.25

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

$${{20} \over 3}$$ sq. units

$${{16} \over 3}$$ sq. units

$${{14} \over 3}$$ sq. units

$${{10} \over 3}$$ sq. units

WB JEE 2022

MCQ (Single Correct Answer)

-0.25

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

$$C{e^{{{{x^2}} \over 2}}}$$ (where C is the constant of integration)

$$C{e^{{x^2}}}$$ (where C is the constant of integration)

$$C{e^{2{x^2}}}$$ (where C is the constant of integration)

$$C{e^{{{{x^2}} \over 3}}}$$ (where C is the constant of integration)

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