1
JEE Main 2020 (Online) 9th January Morning Slot
+4
-1
Let C be the centroid of the triangle with vertices (3, –1), (1, 3) and (2, 4). Let P be the point of intersection of the lines x + 3y – 1 = 0 and 3x – y + 1 = 0. Then the line passing through the points C and P also passes through the point :
A
(–9, –7)
B
(9, 7)
C
(7, 6)
D
(–9, –6)
2
JEE Main 2020 (Online) 8th January Morning Slot
+4
-1
Let two points be A(1, –1) and B(0, 2). If a point P(x', y') be such that the area of $$\Delta$$PAB = 5 sq. units and it lies on the line, 3x + y – 4$$\lambda$$ = 0, then a value of $$\lambda$$ is :
A
4
B
1
C
-3
D
3
3
JEE Main 2020 (Online) 7th January Evening Slot
+4
-1
The locus of the mid-points of the perpendiculars drawn from points on the line, x = 2y to the line x = y is :
A
3x - 2y = 0
B
7x - 5y = 0
C
2x - 3y = 0
D
5x - 7y = 0
4
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is :
A
x + $$\sqrt 3$$y = 8
B
$$\sqrt 3$$x + y = 8
C
( $$\sqrt 3$$ + 1)x + ( $$\sqrt 3$$ – 1)y = 8 $$\sqrt 2$$
D
( $$\sqrt 3$$ - 1)x + ( $$\sqrt 3$$ + 1)y = 8 $$\sqrt 2$$
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