1
JEE Main 2019 (Online) 9th April Evening Slot
+4
-1
If m is chosen in the quadratic equation

(m2 + 1) x2 – 3x + (m2 + 1)2 = 0

such that the sum of its roots is greatest, then the absolute difference of the cubes of its roots is :-
A
$$4\sqrt 3$$
B
$$8\sqrt 3$$
C
$$8\sqrt 5$$
D
$$10\sqrt 5$$
2
JEE Main 2019 (Online) 9th April Morning Slot
+4
-1
Let p, q $$\in$$ R. If 2 - $$\sqrt 3$$ is a root of the quadratic equation, x2 + px + q = 0, then :
A
p2 – 4q – 12 = 0
B
q2 – 4p – 16 = 0
C
q2 + 4p + 14 = 0
D
p2 – 4q + 12 = 0
3
JEE Main 2019 (Online) 8th April Evening Slot
+4
-1
The number of integral values of m for which the equation

(1 + m2 )x2 – 2(1 + 3m)x + (1 + 8m) = 0 has no real root is :
A
2
B
infinitely many
C
1
D
3
4
JEE Main 2019 (Online) 8th April Morning Slot
+4
-1
The sum of the solutions of the equation
$$\left| {\sqrt x - 2} \right| + \sqrt x \left( {\sqrt x - 4} \right) + 2 = 0$$
(x > 0) is equal to:
A
9
B
12
C
4
D
10
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