1
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
Let the equation of the pair of lines, y = px and y = qx, can be written as (y $$-$$ px) (y $$-$$ qx) = 0. Then the equation of the pair of the angle bisectors of the lines x2 $$-$$ 4xy $$-$$ 5y2 = 0 is :
A
x2 $$-$$ 3xy + y2 = 0
B
x2 + 4xy $$-$$ y2 = 0
C
x2 + 3xy $$-$$ y2 = 0
D
x2 $$-$$ 3xy $$-$$ y2 = 0
2
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
$$3\sqrt 2$$
3
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
4
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
$$4\sqrt 2 x - 5y - \left( {5 + 4\sqrt 2 } \right) = 0$$
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