1
JEE Main 2019 (Online) 9th January Morning Slot
MCQ (Single Correct Answer)
+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
2
JEE Main 2018 (Offline)
MCQ (Single Correct Answer)
+4
-1
A straight line through a fixed point (2, 3) intersects the coordinate axes at distinct points P and Q. If O is the origin and the rectangle OPRQ is completed, then the locus of R is :
A
3x + 2y = 6xy
B
3x + 2y = 6
C
2x + 3y = xy
D
3x + 2y = xy
3
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
The sides of a rhombus ABCD are parallel to the lines, x $$-$$ y + 2 = 0 and 7x $$-$$ y + 3 = 0. If the diagonals of the rhombus intersect P(1, 2) and the vertex A (different from the origin) is on the y-axis, then the coordinate of A is :
A
$${5 \over 2}$$
B
$${7 \over 4}$$
C
2
D
$${7 \over 2}$$
4
JEE Main 2018 (Online) 15th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
The foot of the perpendicular drawn from the origin, on the line, 3x + y = $$\lambda$$ ($$\lambda$$ $$\ne$$ 0) is P. If the line meets x-axis at A and y-axis at B, then the ratio BP : PA is :
A
1 : 3
B
3 : 1
C
1 : 9
D
9 : 1
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