Algebra MCQs

Question 1

If $$x + \frac{1}{x} = 2{	ext{,}}$$ then the value of $${x^{12}} - \frac{1}{{{x^{12}}}}$$ is?

Accepted Answer

0

Answer

-4

Answer

4

Answer

2

Question 2

If x : y = 2 : 1, then (5x 2 - 13xy + 6y 2 ) is equal to ?

Accepted Answer

0

Answer

$$\frac{3}{4}$$

Answer

$$\frac{4}{3}$$

Answer

$$\frac{{55}}{4}$$

Question 3

If $$2x + \frac{1}{{4x}} = 1{	ext{,}}$$ then the value of $${x^2} + \frac{1}{{64{x^2}}}$$ is?

Accepted Answer

0

Answer

1

Answer

$$\frac{1}{4}$$

Answer

2

Question 4

If x 2 + 8y 2 + 12y - 4xy + 9 = 0, then the value of (7x + 8y) is:

Accepted Answer

-33

Answer

9

Answer

33

Answer

-9

Question 5

If $$x\left( {3 - \frac{2}{x}} \right) = \frac{3}{x},$$ then the value of $${x^3} - \frac{1}{{{x^3}}}$$ is equal to:

Accepted Answer

$$\frac{{62}}{{27}}$$

Answer

$$\frac{8}{{27}}$$

Answer

$$\frac{{61}}{{27}}$$

Answer

$$\frac{{52}}{{27}}$$

Question 6

If a 2 + b 2 = 2 and c 2 + d 2 = 1, then the value of (ad - bc) 2 + (ac - bd) 2 is?

Accepted Answer

2

Answer

$$\frac{4}{9}$$

Answer

$$\frac{1}{2}$$

Answer

1

Question 7

If 2x + 3y - 5z = 18, 3x + 2y + z = 29 and x + y + 3z = 17, then what is the value of xy + yz + zx ?

Accepted Answer

52

Answer

32

Answer

64

Answer

46

Question 8

If x 4 - 6x 2 - 1 = 0, then the value of $${x^6} - 5{x^2} + \frac{5}{{{x^2}}} - \frac{1}{{{x^6}}} + 5$$ is:

Accepted Answer

209

Answer

219

Answer

204

Answer

239

Question 9

If $${x^2} + \frac{1}{{{x^2}}} = \frac{{31}}{9}$$ and x > 0, then what is the value of $${x^3} + \frac{1}{{{x^3}}} = ?$$

Accepted Answer

$$\frac{{154}}{{27}}$$

Answer

$$\frac{{70}}{9}$$

Answer

$$\frac{{349}}{{27}}$$

Answer

$$\frac{{349}}{7}$$