1
JEE Main 2022 (Online) 24th June Morning Shift
+4
-1

If the sum of the squares of the reciprocals of the roots $$\alpha$$ and $$\beta$$ of

the equation 3x2 + $$\lambda$$x $$-$$ 1 = 0 is 15, then 6($$\alpha$$3 + $$\beta$$3)2 is equal to :

A
18
B
24
C
36
D
96
2
JEE Main 2021 (Online) 1st September Evening Shift
+4
-1
The numbers of pairs (a, b) of real numbers, such that whenever $$\alpha$$ is a root of the equation x2 + ax + b = 0, $$\alpha$$2 $$-$$ 2 is also a root of this equation, is :
A
6
B
2
C
4
D
8
3
JEE Main 2021 (Online) 31st August Evening Shift
+4
-1
The sum of the roots of the equation

$$x + 1 - 2{\log _2}(3 + {2^x}) + 2{\log _4}(10 - {2^{ - x}}) = 0$$, is :
A
log2 14
B
log2 11
C
log2 12
D
log2 13
4
JEE Main 2021 (Online) 31st August Morning Shift
+4
-1
cosec18$$^\circ$$ is a root of the equation :
A
x2 + 2x $$-$$ 4 = 0
B
4x2 + 2x $$-$$ 1 = 0
C
x2 $$-$$ 2x + 4 = 0
D
x2 $$-$$ 2x $$-$$ 4 = 0
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