1
JEE Main 2021 (Online) 27th August Evening Shift
+4
-1
Let Z be the set of all integers,

$$A = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {y^2} \le 4\}$$

$$B = \{ (x,y) \in Z \times Z:{x^2} + {y^2} \le 4\}$$

$$C = \{ (x,y) \in Z \times Z:{(x - 2)^2} + {(y - 2)^2} \le 4\}$$

If the total number of relation from A $$\cap$$ B to A $$\cap$$ C is 2p, then the value of p is :
A
16
B
25
C
49
D
9
2
JEE Main 2021 (Online) 26th August Evening Shift
+4
-1
A circle C touches the line x = 2y at the point (2, 1) and intersects the circle

C1 : x2 + y2 + 2y $$-$$ 5 = 0 at two points P and Q such that PQ is a diameter of C1. Then the diameter of C is :
A
$$7\sqrt 5$$
B
15
C
$$\sqrt {285}$$
D
$$4\sqrt {15}$$
3
JEE Main 2021 (Online) 26th August Morning Shift
+4
-1
If a line along a chord of the circle 4x2 + 4y2 + 120x + 675 = 0, passes through the point ($$-$$30, 0) and is tangent to the parabola y2 = 30x, then the length of this chord is :
A
5
B
7
C
5$${\sqrt 3 }$$
D
3$${\sqrt 5 }$$
4
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept $$6\sqrt 5$$ on the x-axis. Then the radius of the circle C is equal to :
A
$$\sqrt {53}$$
B
9
C
8
D
$$\sqrt {82}$$
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