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1
JEE Main 2022 (Online) 29th June Evening Shift
+4
-1
English
Hindi

Let $$\alpha$$ be a root of the equation 1 + x2 + x4 = 0. Then, the value of $$\alpha$$1011 + $$\alpha$$2022 $$-$$ $$\alpha$$3033 is equal to :

A
1
B
$$\alpha$$
C
1 + $$\alpha$$
D
1 + 2$$\alpha$$
2
JEE Main 2022 (Online) 28th June Evening Shift
+4
-1
English
Hindi

Let f(x) be a quadratic polynomial such that f($$-$$2) + f(3) = 0. If one of the roots of f(x) = 0 is $$-$$1, then the sum of the roots of f(x) = 0 is equal to :

A
$${{11} \over 3}$$
B
$${{7} \over 3}$$
C
$${{13} \over 3}$$
D
$${{14} \over 3}$$
3
JEE Main 2022 (Online) 28th June Morning Shift
+4
-1
English
Hindi

The number of real solutions of

$${x^7} + 5{x^3} + 3x + 1 = 0$$ is equal to ____________.

A
0
B
1
C
3
D
5
4
JEE Main 2022 (Online) 27th June Morning Shift
+4
-1
English
Hindi

The number of distinct real roots of x4 $$-$$ 4x + 1 = 0 is :

A
4
B
2
C
1
D
0
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