1
JEE Main 2021 (Online) 26th February Evening Shift
+4
-1
If the locus of the mid-point of the line segment from the point (3, 2) to a point on the circle, x2 + y2 = 1 is a circle of radius r, then r is equal to :
A
$${1 \over 4}$$
B
$${1 \over 2}$$
C
1
D
$${1 \over 3}$$
2
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
In the circle given below, let OA = 1 unit, OB = 13 unit and PQ $$\bot$$ OB. Then, the area of the triangle PQB (in square units) is :

A
24$$\sqrt 2$$
B
24$$\sqrt 3$$
C
26$$\sqrt 2$$
D
26$$\sqrt 3$$
3
JEE Main 2020 (Online) 5th September Evening Slot
+4
-1
If the length of the chord of the circle,
x2 + y2 = r2 (r > 0) along the line, y – 2x = 3 is r,
then r2 is equal to :
A
$${9 \over 5}$$
B
$${{24} \over 5}$$
C
$${{12} \over 5}$$
D
12
4
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
Out of Syllabus
The circle passing through the intersection of the circles,
x2 + y2 – 6x = 0 and x2 + y2 – 4y = 0, having its centre on
the line, 2x – 3y + 12 = 0, also passes through the point :
A
(–3, 1)
B
(1, –3)
C
(–1, 3)
D
(–3, 6)
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