1
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz$$_0^{81}$$ $$-$$ 3iz$$_0^{93}$$, then arg z is equal to :
A
$${\pi \over 4}$$
B
$${\pi \over 6}$$
C
$${\pi \over 3}$$
D
0
2
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If the system of linear equations
x $$-$$ 4y + 7z = g
       3y $$-$$ 5z = h
$$-$$2x + 5y $$-$$ 9z = k
is consistent, then :
A
g + 2h + k = 0
B
g + h + 2k = 0
C
2g + h + k = 0
D
g + h + k = 0
3
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
The area of the region

A = {(x, y) : 0 $$ \le $$ y $$ \le $$x |x| + 1  and  $$-$$1 $$ \le $$ x $$ \le $$1} in sq. units, is :
A
$${2 \over 3}$$
B
2
C
$${4 \over 3}$$
D
$${1 \over 3}$$
4
JEE Main 2019 (Online) 9th January Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in the set S is :
A
9
B
18
C
36
D
32
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