1
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
A point P moves on the line 2x – 3y + 4 = 0. If Q(1, 4) and R (3, – 2) are fixed points, then the locus of the centroid of $$\Delta$$PQR is a line :
A
parallel to y-axis
B
with slope $${2 \over 3}$$
C
parallel to x-axis
D
with slope $${3 \over 2}$$
2
JEE Main 2019 (Online) 10th January Morning Slot
+4
-1
If the line 3x + 4y – 24 = 0 intersects the x-axis at the point A and the y-axis at the point B, then the incentre of the triangle OAB, where O is the origin, is :
A
(3, 4)
B
(2, 2)
C
(4, 4)
D
(4, 3)
3
JEE Main 2019 (Online) 9th January Evening Slot
+4
-1
Let the equations of two sides of a triangle be 3x $$-$$ 2y + 6 = 0 and 4x + 5y $$-$$ 20 = 0. If the orthocentre of this triangle is at (1, 1), then the equation of its third side is :
A
122y $$-$$ 26x $$-$$ 1675 = 0
B
122y + 26x + 1675 = 0
C
26x + 61y + 1675 = 0
D
26x $$-$$ 122y $$-$$ 1675 = 0
4
JEE Main 2019 (Online) 9th January Morning Slot
+4
-1
Out of Syllabus
Consider the set of all lines px + qy + r = 0 such that 3p + 2q + 4r = 0. Which one of the following statements is true?
A
The lines are not concurrent
B
The lines are concurrent at the point $$\left( {{3 \over 4},{1 \over 2}} \right)$$
C
The lines are all parallel
D
Each line passes through the origin
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