1
WB JEE 2021
+1
-0.25
The straight the through the origin which divides the area formed by the curves y = 2x $$-$$ x2, y = 0 and x = 1 into two equal halves is
A
y = x
B
y = 2x
C
y = $${3 \over 2}$$ x
D
y = $${2 \over 3}$$ x
2
WB JEE 2021
+2
-0.5
The area bounded by the parabolas $$y = 4{x^2},y = {{{x^2}} \over 9}$$ and the straight line y = 2 is
A
$${{20\sqrt 2 } \over 3}$$ sq. unit
B
$$10\sqrt 5$$ sq. unit
C
$${{10\sqrt 3 } \over 7}$$ sq. unit
D
$$10\sqrt 2$$ sq. unit
3
WB JEE 2020
+1
-0.25
If $${x^2} + {y^2} = {a^2}$$, then $$\int\limits_0^a {\sqrt {1 + {{\left( {{{dy} \over {dx}}} \right)}^2}} dx = }$$
A
2$$\pi a$$
B
$$\pi a$$
C
$${1 \over 2}\pi a$$
D
$${1 \over 4}\pi a$$
4
WB JEE 2020
+1
-0.25
Area in the first quadrant between the ellipses x2 + 2y2 = a2 and 2x2 + y2 = a2 is
A
$${{{a^2}} \over {\sqrt 2 }}{\tan ^{ - 1}}{1 \over {\sqrt 2 }}$$
B
$${{3{a^2}} \over 4}{\tan ^{ - 1}}{1 \over 2}$$
C
$${{5{a^2}} \over 2}{\sin ^{ - 1}}{1 \over 2}$$
D
$${{9\pi {a^2}} \over 2}$$
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