1
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A triangle has a vertex at (1, 2) and the mid points of the two sides through it are (–1, 1) and (2, 3). Then the centroid of this triangle is :
A
$$\left( {{1 \over 3},2} \right)$$
B
$$\left( {{1 \over 3},{5 \over 3}} \right)$$
C
$$\left( {1,{7 \over 3}} \right)$$
D
$$\left( {{1 \over 3},1} \right)$$
2
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)
3
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
$${{13} \over 2}$$
4
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
The locus of the centres of the circles, which touch the circle, x2 + y2 = 1 externally, also touch the y-axis and lie in the first quadrant, is
A
$$x = \sqrt {1 + 2y} ,y \ge 0$$
B
$$y = \sqrt {1 + 2x} ,x \ge 0$$
C
$$y = \sqrt {1 + 4x} ,x \ge 0$$
D
$$x = \sqrt {1 + 4y} ,y \ge 0$$
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