1
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
$$4\sqrt 2 x - 5y - \left( {5 + 4\sqrt 2 } \right) = 0$$
2
JEE Main 2021 (Online) 17th March Morning Shift
+4
-1
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 :
A
($$-$$1, 0)
B
(1, 4)
C
(0, 2)
D
($$-$$2, $$-$$2)
3
JEE Main 2021 (Online) 16th March Evening Shift
+4
-1
Let A($$-$$1, 1), B(3, 4) and C(2, 0) be given three points.
A line y = mx, m > 0, intersects lines AC and BC at point P and Q respectively. Let A1 and A2 be the areas of $$\Delta$$ABC and $$\Delta$$PQC respectively, such that A1 = 3A2, then the value of m is equal to :
A
1
B
3
C
2
D
$${4 \over {15}}$$
4
JEE Main 2021 (Online) 26th February Morning Shift
+4
-1
The intersection of three lines x $$-$$ y = 0, x + 2y = 3 and 2x + y = 6 is a :
A
Right angled triangle
B
Equilateral triangle
C
None of the above
D
Isosceles triangle
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