1
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
If a variable line, 3x + 4y – $$\lambda$$ = 0 is such that the two circles x2 + y2 – 2x – 2y + 1 = 0 and x2 + y2 – 18x – 2y + 78 = 0 are on its opposite sides, then the set of all values of $$\lambda$$ is the interval :
A
(23, 31)
B
(2, 17)
C
[13, 23]
D
[12, 21]
2
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
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
3
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
$${{\sqrt 5 } \over 4}$$
4
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
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