1
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
If a variable line drawn through the intersection of the lines $${x \over 3} + {y \over 4} = 1$$ and $${x \over 4} + {y \over 3} = 1,$$ meets the coordinate axes at A and B, (A $$\ne$$ B), then the locus of the midpoint of AB is :
A
6xy = 7(x + y)
B
4(x + y)2 − 28(x + y) + 49 = 0
C
7xy = 6(x + y)
D
14(x + y)2 − 97(x + y) + 168 = 0
2
JEE Main 2016 (Online) 9th April Morning Slot
+4
-1
The point (2, 1) is translated parallel to the line L : x− y = 4 by $$2\sqrt 3$$ units. If the newpoint Q lies in the third quadrant, then the equation of the line passing through Q and perpendicular to L is :
A
x + y = 2 $$-$$ $$\sqrt 6$$
B
x + y = 3 $$-$$ 3$$\sqrt 6$$
C
x + y = 3 $$-$$ 2$$\sqrt 6$$
D
2x + 2y = 1 $$-$$ $$\sqrt 6$$
3
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
$$\left( { - 3, - 8} \right)$$
4
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
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