1
JEE Main 2022 (Online) 26th July Morning Shift
+4
-1

The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is $${{364} \over 3}$$, is equal to :

A
3
B
5
C
7
D
9
2
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

The area of the region given by

$$A=\left\{(x, y): x^{2} \leq y \leq \min \{x+2,4-3 x\}\right\}$$ is :

A
$$\frac{31}{8}$$
B
$$\frac{17}{6}$$
C
$$\frac{19}{6}$$
D
$$\frac{27}{8}$$
3
JEE Main 2022 (Online) 25th July Morning Shift
+4
-1

Let the locus of the centre $$(\alpha, \beta), \beta>0$$, of the circle which touches the circle $$x^{2}+(y-1)^{2}=1$$ externally and also touches the $$x$$-axis be $$\mathrm{L}$$. Then the area bounded by $$\mathrm{L}$$ and the line $$y=4$$ is:

A
$$\frac{32 \sqrt{2}}{3}$$
B
$$\frac{40 \sqrt{2}}{3}$$
C
$$\frac{64}{3}$$
D
$$\frac{32}{3}$$
4
JEE Main 2022 (Online) 29th June Morning Shift
+4
-1

The area enclosed by y2 = 8x and y = $$\sqrt2$$ x that lies outside the triangle formed by y = $$\sqrt2$$ x, x = 1, y = 2$$\sqrt2$$, is equal to:

A
$${{16\sqrt 2 } \over 6}$$
B
$${{11\sqrt 2 } \over 6}$$
C
$${{13\sqrt 2 } \over 6}$$
D
$${{5\sqrt 2 } \over 6}$$
EXAM MAP
Medical
NEET