JEE Main 2021 (Online) 27th July Morning Shift | Quadratic Equation and Inequalities Question 45 | Mathematics

JEE Main 2021 (Online) 27th July Morning Shift

MCQ (Single Correct Answer)

-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

100

160

JEE Main 2021 (Online) 25th July Evening Shift

MCQ (Single Correct Answer)

-1

The number of real solutions of the equation, x² $$-$$ |x| $$-$$ 12 = 0 is :

JEE Main 2021 (Online) 25th July Morning Shift

MCQ (Single Correct Answer)

-1

The number of real roots of the equation $${e^{6x}} - {e^{4x}} - 2{e^{3x}} - 12{e^{2x}} + {e^x} + 1 = 0$$ is :

JEE Main 2021 (Online) 20th July Morning Shift

MCQ (Single Correct Answer)

-1

If $$\alpha$$ and $$\beta$$ are the distinct roots of the equation $${x^2} + {(3)^{1/4}}x + {3^{1/2}} = 0$$, then the value of $${\alpha ^{96}}({\alpha ^{12}} - 1) + {\beta ^{96}}({\beta ^{12}} - 1)$$ is equal to :

56 $$\times$$ 3²⁵

56 $$\times$$ 3²⁴

52 $$\times$$ 3²⁴

28 $$\times$$ 3²⁵

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