1
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
Out of Syllabus
A circle passes through the points (2, 3) and (4, 5). If its centre lies on the line, $$y - 4x + 3 = 0,$$ then its radius is equal to :
A
2
B
$$\sqrt 5$$
C
$$\sqrt 2$$
D
1
2
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :
A
53
B
56
C
74
D
65
3
JEE Main 2017 (Online) 9th April Morning Slot
+4
-1
The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadrilateral is $$4\sqrt 3$$, then the perimeter of the quadrilateral is :
A
12.5
B
13.2
C
12
D
13
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
If a point P has co-ordinates (0, $$-$$2) and Q is any point on the circle, x2 + y2 $$-$$ 5x $$-$$ y + 5 = 0, then the maximum value of (PQ)2 is :
A
$${{25 + \sqrt 6 } \over 2}$$
B
14 + $$5\sqrt 3$$
C
$${{47 + 10\sqrt 6 } \over 2}$$
D
8 + 5$$\sqrt 3$$
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