1
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
Out of Syllabus
Let C1 and C2 be the centres of the circles x2 + y2 – 2x – 2y – 2 = 0 and x2 + y2 – 6x – 6y + 14 = 0 respectively. If P and Q are the points of intersection of these circles, then the area (in sq. units) of the quadrilateral PC1QC2 is :
A
4
B
6
C
9
D
8
2
JEE Main 2019 (Online) 11th January Morning Slot
+4
-1
The straight line x + 2y = 1 meets the coordinate axes at A and B. A circle is drawn through A, B and the origin. Then the sum of perpendicular distances from A and B on the tangent to the circle at the origin is :
A
$$4\sqrt 5$$
B
$${{\sqrt 5 } \over 2}$$
C
$$2\sqrt 5$$
D
$${{\sqrt 5 } \over 4}$$
3
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
4
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
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