1
JEE Main 2018 (Online) 16th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
If a circle C, whose radius is 3, touches externally the circle,
$${x^2} + {y^2} + 2x - 4y - 4 = 0$$ at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :
A
$$2\sqrt 5$$
B
$$3\sqrt 2$$
C
$$\sqrt 5$$
D
$$2\sqrt 3$$
2
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
If the tangent at (1, 7) to the curve x2 = y - 6

touches the circle x2 + y2 + 16x + 12y + c = 0, then the value of c is :
A
95
B
195
C
185
D
85
3
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
The tangent to the circle C1 : x2 + y2 $$-$$ 2x $$-$$ 1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C2 whose center is (3, $$-$$2). The radius of C2 is :
A
2
B
$$\sqrt 2$$
C
3
D
$$\sqrt 6$$
4
JEE Main 2018 (Online) 15th April Morning Slot
MCQ (Single Correct Answer)
+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
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