1
JEE Main 2021 (Online) 31st August Evening Shift
Numerical
+4
-1
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 _____________.
2
JEE Main 2021 (Online) 26th August Evening Shift
Numerical
+4
-1
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 ______________.
3
JEE Main 2021 (Online) 26th August Morning Shift
Numerical
+4
-1
The area of the region $$S = \{ (x,y):3{x^2} \le 4y \le 6x + 24\}$$ is ____________.
4
JEE Main 2021 (Online) 22th July Evening Shift
Numerical
+4
-1
The area (in sq. units) of the region bounded by the curves x2 + 2y $$-$$ 1 = 0, y2 + 4x $$-$$ 4 = 0 and y2 $$-$$ 4x $$-$$ 4 = 0, in the upper half plane is _______________.
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