1
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
MCQ (Single Correct Answer)
+4
-1
Change Language
The area (in sq. units) of the region described by

A= {(x, y) $$\left| {} \right.$$y$$ \ge $$ x2 $$-$$ 5x + 4, x + y $$ \ge $$ 1, y $$ \le $$ 0} is :
A
$${7 \over 2}$$
B
$${{19} \over 6}$$
C
$${{13} \over 6}$$
D
$${{17} \over 6}$$
3
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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 $$-$$ $$\sqrt 6 $$
4
JEE Main 2016 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
A circle passes through (−2, 4) and touches the y-axis at (0, 2). Which one of the following equations can represent a diameter of this circle?
A
4x + 5y − 6 = 0
B
2x − 3y + 10 = 0
C
3x + 4y − 3 = 0
D
5x + 2y + 4 = 0
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