1
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
A square is inscribed in the circle x2 + y2 – 6x + 8y – 103 = 0 with its sides parallel to the coordinate axes. Then the distance of the vertex of this square which is nearest to the origin is :
A
$$\sqrt {137}$$
B
6
C
$$\sqrt {41}$$
D
13
2
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
Out of Syllabus
Two circles with equal radii are intersecting at the points (0, 1) and (0, –1). The tangent at the point (0, 1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is :
A
$$2\sqrt 2$$
B
$$\sqrt 2$$
C
2
D
1
3
JEE Main 2019 (Online) 10th January Evening Slot
+4
-1
If the area of an equilateral triangle inscribed in the circle x2 + y2 + 10x + 12y + c = 0 is $$27\sqrt 3$$ sq units then c is equal to :
A
20
B
25
C
$$-$$ 25
D
13
4
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
Out of Syllabus
If a circle C passing through the point (4, 0) touches the circle x2 + y2 + 4x – 6y = 12 externally at the point (1, – 1), then the radius of C is :
A
5
B
2$$\sqrt {5}$$
C
4
D
$$\sqrt {37}$$
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