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1
JEE Main 2021 (Online) 18th March Evening Shift
+4
-1
Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be along the straight line x + y = 3. If R and r be the radius of circumcircle and incircle respectively of $$\Delta$$ABC, then (R + r) is equal to :
A
$$7\sqrt 2$$
B
$${9 \over {\sqrt 2 }}$$
C
$$2\sqrt 2$$
D
$$3\sqrt 2$$
2
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
The number of integral values of m so that the abscissa of point of intersection of lines 3x + 4y = 9 and y = mx + 1 is also an integer, is :
A
1
B
2
C
3
D
0
3
JEE Main 2021 (Online) 18th March Morning Shift
+4
-1
The equation of one of the straight lines which passes through the point (1, 3) and makes an angles $${\tan ^{ - 1}}\left( {\sqrt 2 } \right)$$ with the straight line, y + 1 = 3$${\sqrt 2 }$$ x is
A
$$4\sqrt 2 x + 5y - \left( {15 + 4\sqrt 2 } \right) = 0$$
B
$$5\sqrt 2 x + 4y - \left( {15 + 4\sqrt 2 } \right) = 0$$
C
$$4\sqrt 2 x + 5y - 4\sqrt 2 = 0$$
D
$$4\sqrt 2 x - 5y - \left( {5 + 4\sqrt 2 } \right) = 0$$
4
JEE Main 2021 (Online) 17th March Morning Shift
In a triangle PQR, the co-ordinates of the points P and Q are ($$-$$2, 4) and (4, $$-$$2) respectively. If the equation of the perpendicular bisector of PR is 2x $$-$$ y + 2 = 0, then the centre of the circumcircle of the $$\Delta$$PQR is :
($$-$$1, 0)
($$-$$2, $$-$$2)