1
JEE Main 2019 (Online) 12th April Evening Slot
+4
-1
A straight line L at a distance of 4 units from the origin makes positive intercepts on the coordinate axes and the perpendicular from the origin to this line makes an angle of 60o with the line x + y = 0. Then an equation of the line L is :
A
x + $$\sqrt 3$$y = 8
B
$$\sqrt 3$$x + y = 8
C
( $$\sqrt 3$$ + 1)x + ( $$\sqrt 3$$ – 1)y = 8 $$\sqrt 2$$
D
( $$\sqrt 3$$ - 1)x + ( $$\sqrt 3$$ + 1)y = 8 $$\sqrt 2$$
2
JEE Main 2019 (Online) 10th April Evening Slot
+4
-1
Lines are drawn parallel to the line 4x – 3y + 2 = 0, at a distance $${3 \over 5}$$ from the origin. Then which one of the following points lies on any of these lines ?
A
$$\left( {{1 \over 4}, - {1 \over 3}} \right)$$
B
$$\left( { - {1 \over 4},{2 \over 3}} \right)$$
C
$$\left( { - {1 \over 4}, - {2 \over 3}} \right)$$
D
$$\left( {{1 \over 4},{1 \over 3}} \right)$$
3
JEE Main 2019 (Online) 10th April Morning Slot
+4
-1
The region represented by| x – y | $$\le$$ 2 and | x + y| $$\le$$ 2 is bounded by a :
A
rhombus of area 8$$\sqrt 2$$ sq. units
B
square of side length 2$$\sqrt 2$$ units
C
square of area 16 sq. units
D
rhombus of side length 2 units
4
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
If the two lines x + (a – 1) y = 1 and 2x + a2y = 1 (a$$\in$$R – {0, 1}) are perpendicular, then the distance of their point of intersection from the origin is :-
A
$${2 \over \sqrt5}$$
B
$${\sqrt2 \over 5}$$
C
$${2 \over 5}$$
D
$$\sqrt{2 \over 5}$$
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