WB JEE 2011 | Application of Integration Question 7 | Mathematics

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 2024

MCQ (Single Correct Answer)

-0.25

The area bounded by the curves $$x=4-y^2$$ and the Y-axis is

16 sq. unit

$$\frac{32}{3}$$ sq. unit

$$\frac{16}{3}$$ sq. unit

32 sq. unit

WB JEE 2024

MCQ (Single Correct Answer)

-0.25

Consider the function $$\mathrm{f}(x)=(x-2) \log _{\mathrm{e}} x$$. Then the equation $$x \log _{\mathrm{e}} x=2-x$$

has at least one root in $$(1,2)$$

has no root in $$(1,2)$$

is not at all solvable

has infinitely many roots in $$(-2,1)$$

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