1
JEE Main 2021 (Online) 20th July Morning Shift
Numerical
+4
-1
Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tangent T, ellipse E, lines x = 1 and x = $$\sqrt 5$$ is $$\alpha$$$$\sqrt 5$$ + $$\beta$$ + $$\gamma$$ cos$$-$$1$$\left( {{1 \over {\sqrt 5 }}} \right)$$, then |$$\alpha$$ + $$\beta$$ + $$\gamma$$| is equal to ______________.
2
JEE Main 2021 (Online) 17th March Evening Shift
Numerical
+4
-1
Let f : [$$-$$3, 1] $$\to$$ R be given as

$$f(x) = \left\{ \matrix{ \min \,\{ (x + 6),{x^2}\}, - 3 \le x \le 0 \hfill \cr \max \,\{ \sqrt x ,{x^2}\} ,\,0 \le x \le 1. \hfill \cr} \right.$$

If the area bounded by y = f(x) and x-axis is A, then the value of 6A is equal to ___________.
3
JEE Main 2021 (Online) 26th February Morning Shift
Numerical
+4
-1
The area bounded by the lines y = || x $$-$$ 1 | $$-$$ 2 | is ___________.
4
JEE Main 2021 (Online) 25th February Morning Shift
Numerical
+4
-1
The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection, the two graphs enclose the same area A. Then A4 is equal to __________.