WB JEE 2008 | Application of Integration Question 2 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The area enclosed between the curve y = 1 + x², the y-axis, and the straight line y = 5 is given by

$${{14} \over 3}$$ square units

$${{7} \over 3}$$ square units

5 square units

$${{16} \over 3}$$ square units

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The line which is parallel to x-axis and crosses the curve y = $$\sqrt x$$ at an angle 45$$^\circ$$ is

y = $${1 \over 4}$$

y = $${1 \over 2}$$

y = 1

y = 4

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The area included between the parabolas y² = 4x and x² = 4y is

$${8 \over 3}$$ sq. units

8 sq. units

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

12 sq. units

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

Select the correct statement from (a), (b), (c), (d). The function $$f(x) = x{e^{1 - x}}$$

strictly increases in the interval (1/2, 2)

increases in the interval (0, $$\infty$$)

decreases in the interval (0, 2)

strictly decreases in the interval (1, $$\infty$$)

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