1
JEE Main 2021 (Online) 27th July Evening Shift
+4
-1
Let $$\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}$$ and $$\beta = \mathop {\min }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}}\}$$. If $$8{x^2} + bx + c = 0$$ is a quadratic equation whose roots are $$\alpha$$1/5 and $$\beta$$1/5, then the value of c $$-$$ b is equal to :
A
42
B
47
C
43
D
50
2
JEE Main 2021 (Online) 27th July Morning Shift
+4
-1
Let $$\alpha$$, $$\beta$$ be two roots of the

equation x2 + (20)1/4x + (5)1/2 = 0. Then $$\alpha$$8 + $$\beta$$8 is equal to
A
10
B
100
C
50
D
160
3
JEE Main 2021 (Online) 25th July Evening Shift
+4
-1
The number of real solutions of the equation, x2 $$-$$ |x| $$-$$ 12 = 0 is :
A
2
B
3
C
1
D
4
4
JEE Main 2021 (Online) 25th July Morning Shift
+4
-1
The number of real roots of the equation $${e^{6x}} - {e^{4x}} - 2{e^{3x}} - 12{e^{2x}} + {e^x} + 1 = 0$$ is :
A
2
B
4
C
6
D
1
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