Equations and Inequalities Test

Result

Equations and Inequalities Test - 43

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Weekly Quiz Competition

Question 1
4 / -1

Let α and β be the roots of the equation x² + x + 1 = 0, then the equation whose roots are α¹⁹, β⁷ is

A
x² – x – 1 = 0

B
x² – x + 1 = 0

C
x² + x – 1 = 0

D
x² + x + 1 = 0

Solution
Question 2
4 / -1

If x₁, x₂ and x₃ are distinct roots of the equation ax₁ + bx + c = 0 then

A

B

C

D

Solution
Question 3
4 / -1

A
2

B
3

C
1

D
None of these

Solution
Question 4
4 / -1

A
4

B
6

C
3

D
2

Solution
Question 5
4 / -1

A
2

B

C

D
none of these

Solution
Question 6
4 / -1

In between any two real roots of an e^xsinx = 1 there exists how many roots satisfying equation e^xcosx = –1?

A
At least one root

B
No root

C
At most one root

D
None of these

Solution
Question 7
4 / -1

A

B

C

D
Question 8
4 / -1

The equation e^x – x – 1 = 0 has

A
Only one real root x = 0

B
At least two real roots

C
Exactly two real roots

D
Infinitely many roots

Solution
Question 9
4 / -1

A
No solution

B
One solution

C
Two solutions

D
More than two solutions

Solution
Question 10
4 / -1

A

B

C

D

Solution