1
JEE Main 2018 (Offline)
+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
2
JEE Main 2018 (Online) 15th April Evening Slot
+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
$${7 \over 2}$$
3
JEE Main 2018 (Online) 15th April Evening Slot
+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
4
JEE Main 2018 (Online) 15th April Morning Slot
+4
-1
In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y = 5 and x = 4. Then area of $$\Delta$$ ABC (in sq. units) is :
A
12
B
4
C
5
D
9
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