1
JEE Main 2020 (Online) 8th January Evening Slot
+4
-1
Out of Syllabus
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
2
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
Out of Syllabus
Let the tangents drawn from the origin to the circle,
x2 + y2 - 8x - 4y + 16 = 0 touch it at the points A and B. The (AB)2 is equal to :
A
$${{56} \over 5}$$
B
$${{32} \over 5}$$
C
$${{52} \over 5}$$
D
$${{64} \over 5}$$
3
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A circle touching the x-axis at (3, 0) and making an intercept of length 8 on the y-axis passes through the point :
A
(1, 5)
B
( 2, 3)
C
(3, 5)
D
(3, 10)
4
JEE Main 2019 (Online) 12th April Morning Slot
+4
-1
If the angle of intersection at a point where the two circles with radii 5 cm and 12 cm intersect is 90o, then the length (in cm) of their common chord is :
A
$${{13} \over 5}$$
B
$${{60} \over {13}}$$
C
$${{120} \over {13}}$$
D
$${{13} \over 2}$$
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