1
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
2
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
3
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$$\sqrt 3$$
4
JEE Main 2017 (Online) 8th April Morning Slot
+4
-1
If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $${\cos ^{ - 1}}\left( {{1 \over 7}} \right)$$ and sec$$-$$1 (7) at the center respectivey, then the distance between these chords, is :
A
$${4 \over {\sqrt 7 }}$$
B
$${8 \over {\sqrt 7 }}$$
C
$${8 \over 7}$$
D
$${16 \over 7}$$
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