1
JEE Main 2022 (Online) 24th June Evening Shift
Numerical
+4
-1
Change Language

The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.

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2
JEE Main 2022 (Online) 24th June Morning Shift
Numerical
+4
-1
Change Language

Let S be the region bounded by the curves y = x3 and y2 = x. The curve y = 2|x| divides S into two regions of areas R1, R2. If max {R1, R2} = R2, then $${{{R_2}} \over {{R_1}}}$$ is equal to ______________.

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3
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
Change Language
If the line y = mx bisects the area enclosed by the lines x = 0, y = 0, x = $${3 \over 2}$$ and the curve y = 1 + 4x $$-$$ x2, then 12 m is equal to _____________.
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4
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
Change Language
Let a and b respectively be the points of local maximum and local minimum of the function f(x) = 2x3 $$-$$ 3x2 $$-$$ 12x. If A is the total area of the region bounded by y = f(x), the x-axis and the lines x = a and x = b, then 4A is equal to ______________.
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