1
JEE Main 2016 (Offline)
+4
-1
Two sides of a rhombus are along the lines, $$x - y + 1 = 0$$ and $$7x - y - 5 = 0$$. If its diagonals intersect at $$(-1, -2)$$, then which one of the following is a vertex of this rhombus?
A
$$\left( {{{ 1} \over 3}, - {8 \over 3}} \right)$$
B
$$\left( - {{{ 10} \over 3}, - {7 \over 3}} \right)$$
C
$$\left( { - 3, - 9} \right)$$
D
$$\left( { - 3, - 8} \right)$$
2
JEE Main 2015 (Offline)
+4
-1
The number of points, having both co-ordinates as integers, that lie in the interior of the triangle with vertices $$(0, 0)$$ $$(0, 41)$$ and $$(41, 0)$$ is :
A
820
B
780
C
901
D
861
3
JEE Main 2014 (Offline)
+4
-1
Let $$PS$$ be the median of the triangle with vertices $$P(2, 2)$$, $$Q(6, -1)$$ and $$R(7, 3)$$. The equation of the line passing through $$(1, -1)$$ band parallel to PS is :
A
$$4x + 7y + 3 = 0$$
B
$$2x - 9y - 11 = 0$$
C
$$4x - 7y - 11 = 0$$
D
$$2x + 9y + 7 = 0$$
4
JEE Main 2014 (Offline)
+4
-1
Let $$a, b, c$$ and $$d$$ be non-zero numbers. If the point of intersection of the lines $$4ax + 2ay + c = 0$$ and $$5bx + 2by + d = 0$$ lies in the fourth quadrant and is equidistant from the two axes then :
A
$$3bc - 2ad = 0$$
B
$$3bc + 2ad = 0$$
C
$$2bc - 3ad = 0$$
D
$$2bc + 3ad = 0$$
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