JEE Main 2020 (Online) 2nd September Morning Slot | Quadratic Equation and Inequalities Question 72 | Mathematics | JEE Main - ExamSIDE.com

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1

JEE Main 2020 (Online) 2nd September Morning Slot

MCQ (Single Correct Answer)

+4

-1

Let $$\alpha $$ and $$\beta $$ be the roots of the equation
5x² + 6x – 2 = 0. If S_n = $$\alpha $$ⁿ + $$\beta $$ⁿ, n = 1, 2, 3...., then :

A

5S₆ + 6S₅ = 2S₄

B

5S₆ + 6S₅ + 2S₄ = 0

C

6S₆ + 5S₅ + 2S₄ = 0

D

6S₆ + 5S₅ = 2S₄

2

JEE Main 2020 (Online) 9th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let a, b $$ \in $$ R, a $$ \ne $$ 0 be such that the equation, ax² – 2bx + 5 = 0 has a repeated root $$\alpha $$, which is also a root of the equation, x² – 2bx – 10 = 0. If $$\beta $$ is the other root of this equation, then $$\alpha $$² + $$\beta $$² is equal to :

A

28

B

24

C

26

D

25

3

JEE Main 2020 (Online) 9th January Morning Slot

MCQ (Single Correct Answer)

+4

-1

The number of real roots of the equation,
e^4x + e^3x – 4e^2x + e^x + 1 = 0 is :

A

1

B

2

C

3

D

4

4

JEE Main 2020 (Online) 8th January Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let S be the set of all real roots of the equation,
3^x(3^x – 1) + 2 = |3^x – 1| + |3^x – 2|. Then S :

A

contains exactly two elements.

B

is an empty set.

C

is a singleton.

D

contains at least four elements.

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