WB JEE 2020 | Application of Integration Question 16 | Mathematics

WB JEE 2020

MCQ (Single Correct Answer)

-0.25

Area in the first quadrant between the ellipses x² + 2y² = a² and 2x² + y² = a² is

$${{{a^2}} \over {\sqrt 2 }}{\tan ^{ - 1}}{1 \over {\sqrt 2 }}$$

$${{3{a^2}} \over 4}{\tan ^{ - 1}}{1 \over 2}$$

$${{5{a^2}} \over 2}{\sin ^{ - 1}}{1 \over 2}$$

$${{9\pi {a^2}} \over 2}$$

WB JEE 2020

MCQ (Single Correct Answer)

-0.5

The area of the region

$$\{ (x,y):{x^2} + {y^2} \le 1 \le x + y\} $$ is

$${{{\pi ^2}} \over 2}$$

$${\pi \over 4}$$

$${\pi \over 4}$$$$ - $$$${1 \over 2}$$

$${{{\pi ^2}} \over 3}$$

WB JEE 2019

MCQ (Single Correct Answer)

-0.25

Let P and T be the subsets of k, y-plane defined by

P = {(x, y) : x > 0, y > 0 and x² + y² = 1}

T = {(x, y) : x > 0, y > 0 and x⁸ + y⁸ < 1}

Then, P $$ \cap $$ T is

the void set $$\phi$$

P $$-$$ T^C

WB JEE 2017

MCQ (Single Correct Answer)

-0.5

The area of the figure bounded by the parabolas x = $$-$$ 2y² and x = 1 $$-$$ 3y² is

$${4 \over 3}$$ sq units

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

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

$${6 \over 7}$$ sq units

WB JEE Subjects