Algebra MCQs

Question 1

If $$x + \frac{1}{x} = 3{	ext{,}}$$ then the value of $$\frac{{3{x^2} - 4x + 3}}{{{x^2} - x + 1}}$$ is?

Accepted Answer

$$\frac{5}{2}$$

Answer

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

Answer

$$\frac{3}{2}$$

Answer

$$\frac{5}{3}$$

Question 2

If x + y = z, then the expression x 3 + y 3 - z 3 + 3xyz will be equal to?

Accepted Answer

0

Answer

3xyz

Answer

-3xyz

Answer

3z

Question 3

If $$x - \frac{1}{x} = 1{	ext{,}}$$ then the value of $$\frac{{{x^4} - \frac{1}{{{x^2}}}}}{{3{x^2} + 5x - 3}}$$ = ?

Accepted Answer

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

Answer

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

Answer

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

Answer

0

Question 4

If (x - 5) 2 + (y - 2) 2 + (z - 9) 2 = 0, then the value of (x + y - z) is?

Accepted Answer

-2

Answer

16

Answer

-1

Answer

12

Question 5

If (3a + 1) 2 + (b - 1) 2 + (2c - 3) 2 = 0 then the value of (3a + b + 2c) is equal to?

Accepted Answer

3

Answer

-1

Answer

2

Answer

5

Question 6

If $$2x + \frac{1}{{2x}} = 2,$$ then what is the value of $$\sqrt {2{{\left( {\frac{1}{x}} \right)}^4} + {{\left( {\frac{1}{x}} \right)}^5}} ?$$

Accepted Answer

8

Answer

1

Answer

2

Answer

4

Question 7

If $$\frac{{x + 1}}{{x - 1}} = \frac{a}{b}$$ and $$\frac{{1 - y}}{{1 + y}} = \frac{b}{a}{	ext{,}}$$ then the value of $$\frac{{x - y}}{{1 + xy}}$$ is?

Accepted Answer

$$\frac{{2ab}}{{{a^2} - {b^2}}}$$

Answer

$$\frac{{{a^2} - {b^2}}}{{ab}}$$

Answer

$$\frac{{{a^2} + {b^2}}}{{2ab}}$$

Answer

$$\frac{{{a^2} - {b^2}}}{{2ab}}$$

Question 8

If a 2 + b 2 + c 2 = 16, x 2 + y 2 + z 2 = 25 and ax + by + cz = 20 then the value of $$\frac{{a + b + c}}{{x + y + z}}$$ = ?

Accepted Answer

$$\frac{4}{5}$$

Answer

$$\frac{3}{5}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{5}{4}$$

Question 9

If a, b, c are real and a 2 + b 2 + c 2 = 2(a - b - c) -3, then the value of 2a - 3b + 4c is?

Accepted Answer

1

Answer

-1

Answer

0

Answer

2