WB JEE 2008 | Application of Integration Question 1 | Mathematics

WB JEE 2008

MCQ (Single Correct Answer)

-0.25

The function f(x) which satisfies $$f(x) = f( - x) = {{f'(x)} \over x}$$ is given by

$$f(x) = {1 \over 2}{e^{{x^2}}}$$

$$f(x) = {1 \over 2}{e^{ - {x^2}}}$$

$$f(x) = {x^2}{e^{{x^2}/2}}$$

$$f(x) = {e^{{x^2}/2}}$$

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

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