1
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
2
JEE Main 2020 (Online) 4th September Evening Slot
+4
-1
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)
3
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
A circle touches the y-axis at the point (0, 4) and passes through the point (2, 0). Which of the following lines is not a tangent to this circle ?
A
3x – 4y – 24 = 0
B
4x + 3y – 8 = 0
C
3x + 4y – 6 = 0
D
4x – 3y + 17 = 0
4
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
If a line, y = mx + c is a tangent to the circle, (x – 3)2 + y2 = 1 and it is perpendicular to a line L1, where L1 is the tangent to the circle, x2 + y2 = 1 at the point $$\left( {{1 \over {\sqrt 2 }},{1 \over {\sqrt 2 }}} \right)$$, then
A
c2 + 6c + 7 = 0
B
c2 - 7c + 6 = 0
C
c2 – 6c + 7 = 0
D
c2 + 7c + 6 = 0
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