JEE Main 2022 (Online) 24th June Evening Shift | Quadratic Equation and Inequalities Question 63 | Mathematics | JEE Main - ExamSIDE.com

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1

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

The sum of all the real roots of the equation

$$({e^{2x}} - 4)(6{e^{2x}} - 5{e^x} + 1) = 0$$ is

A

$${\log _e}3$$

B

$$ - {\log _e}3$$

C

$${\log _e}6$$

D

$$ - {\log _e}6$$

2

JEE Main 2022 (Online) 24th June Evening Shift

MCQ (Single Correct Answer)

+4

-1

The number of distinct real roots of the equation

x⁷ $$-$$ 7x $$-$$ 2 = 0 is

A

5

B

7

C

1

D

3

3

JEE Main 2022 (Online) 24th June Morning Shift

MCQ (Single Correct Answer)

+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

4

JEE Main 2021 (Online) 1st September Evening Shift

MCQ (Single Correct Answer)

+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

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