1
JEE Main 2019 (Online) 10th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
If $$\alpha $$ and $$\beta $$ are the roots of the quadratic equation,
x2 + x sin $$\theta $$ - 2 sin $$\theta $$ = 0, $$\theta \in \left( {0,{\pi \over 2}} \right)$$, then
$${{{\alpha ^{12}} + {\beta ^{12}}} \over {\left( {{\alpha ^{ - 12}} + {\beta ^{ - 12}}} \right).{{\left( {\alpha - \beta } \right)}^{24}}}}$$ is equal to :
A
$${{{2^{12}}} \over {{{\left( {\sin \theta - 8} \right)}^6}}}$$
B
$${{{2^6}} \over {{{\left( {\sin \theta + 4} \right)}^{12}}}}$$
C
$${{{2^{12}}} \over {{{\left( {\sin \theta + 8} \right)}^{12}}}}$$
D
$${{{2^{12}}} \over {{{\left( {\sin \theta - 4} \right)}^{12}}}}$$
2
JEE Main 2019 (Online) 9th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
$$10\sqrt 5 $$
3
JEE Main 2019 (Online) 9th April Morning Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
4
JEE Main 2019 (Online) 8th April Evening Slot
MCQ (Single Correct Answer)
+4
-1
Change Language
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
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