Elective Maths 21

Elective Maths 21

Time limit: 0

Quiz Summary

0 of 20 Questions completed

Questions:

Information

You have already completed the quiz before. Hence you can not start it again.

Quiz is loading…

You must sign in or sign up to start the quiz.

You must first complete the following:

Results

Quiz complete. Results are being recorded.

Results

0 of 20 Questions answered correctly

Your time:

Time has elapsed

You have reached 0 of 0 point(s), (0)

Earned Point(s): 0 of 0, (0)
0 Essay(s) Pending (Possible Point(s): 0)

Categories

Not categorized 0%

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20

Current
Review
Answered
Correct
Incorrect

Question 1 of 20

1. Question
Find the magnitude and direction of the vector P=5i – 12j.
- (13, 113.8°)
- (13, 067.38°)
- (13, 025.38°)
- (13, 157.38°)
Correct

Incorrect
Question 2 of 20

2. Question
If $\alpha and \beta$ are roots of the equation $3x^2-5x+1=0$ , find the value of $\alpha^2-\alpha\beta+\beta^2$
- 6
- 16/3
- 16/9
- 24/9
Correct

Incorrect
Question 3 of 20

3. Question
If 1 and 2 are roots of $x^2+ax+b=0$ , find the value of $(a^2+b^2)$
- 14
- 13
- 9
- 5
Correct

Incorrect
Question 4 of 20

4. Question
If $\sqrt{\left(x^2+\frac{1}{4}\right)}=\frac{13x}{12}$ , where $x\succ0$ , find the value of x.
- 6/5
- 7/5
- 3/2
- 2
Correct

Incorrect
Question 5 of 20

5. Question
If $\alpha and \beta$ are roots of the equation $2x^2-x-4=0$ , form the equation whose roots are $\frac{1}{\alpha}and\frac{1}{\beta}$ .
- $4x^2-x-2=0$
- $4x^2+x-2=0$
- $2x^2-x-2=0$
- $x^2+x+2=0$
Correct

Incorrect
Question 6 of 20

6. Question
For what values of q is $9x^2+qx+4$ a perfect square?
- $\pm12$
- $\pm6\sqrt2$
- $\pm 6$
- $\pm2\sqrt3$
Correct

Incorrect
Question 7 of 20

7. Question
Given that $x^2+3x+k=0$ has equal roots, find the value of the constant k.
- 9
- 9/4
- – ¾
- – 3/2
Correct

Incorrect
Question 8 of 20

8. Question
For what values of constant k does $kx^2+(k+2)x+k=0$ have equal roots?
- 2 or -2/3
- 2 or 3
- -2 or 2/3
- -2 or -2/3
Correct

Incorrect
Question 9 of 20

9. Question
Which of the following is a solution of the simultaneous equations $y=x+3_and_0=x^2-x-12$ ?
- (5,8)
- (3,6)
- (1,4)
- (0,-3)
Correct

Incorrect
Question 10 of 20

10. Question
A function $y=5-x-2x^2$ is expressed in the form $y=P-Q(x-R)^2$ , where P,Q,and R are constants. Find the value of P.
- $5\frac{1}{8}$
- 5
- $4\frac{7}{8}$
- $4\frac{3}{4}$
Correct

Incorrect
Question 11 of 20

11. Question
Find the sum of the roots of the equation $4-\frac{1}{x}=x$
- 4
- 1
- -1
- -4
Correct

Incorrect
Question 12 of 20

12. Question
Find the quadratic equation whose roots are $(2+\sqrt3)_and_(2-\sqrt3)$
- $x^2+4x+1=0$
- $x^2+4x-1=0$
- $x^2-4x+1=0$
- $x^2-4x-1=0$
Correct

Incorrect
Question 13 of 20

13. Question
Find the set of zeros of the polynomial $p(x)=x^3-2x^2-x+2$
- { 0,1,2 }
- {-1, 0, 1}
- {-1,1,2}
- {-2,1,-1}
Correct

Incorrect
Question 14 of 20

14. Question
When the polynomial $f(x)=2x^3-ax^2+5x+1$ is divided by (x+2), the remainder is -1. Find the value of a.
- -7
- -6
- 6
- 7
Correct

Incorrect
Question 15 of 20

15. Question
If $f(x-1)=3x^3-2x-1$ , find f(3)
- 19
- 74
- 183
- 189
Correct

Incorrect
Question 16 of 20

16. Question
When $f(x)=ax^2+7x+9$ is divided by (x-1), the remainder is 20. Find the value of a.
- 2
- 3
- 4
- 9
Correct

Incorrect
Question 17 of 20

17. Question
Factorize $f(x)=2x^3-5x^2+x+2$ completely given that $f\left(-\frac{1}{2}\right)=0$
- (2x+1)(x-1)(x-2)
- (2x+1)(x+1)(x-2)
- (2x-1)(x-1)(x-2)
- (2x-1)(x-1)(x-2)
Correct

Incorrect
Question 18 of 20

18. Question
The expression $x^3+2x^2-3x+4$ is divided by (x-1). Find the remainder.
- 1
- 2
- 3
- 4
Correct

Incorrect
Question 19 of 20

19. Question
If (x+1) is a factor of the polynomial $f(x)=x^3+px+x+6$ , find the value of p.
- -8
- -4
- 4
- 8
Correct

Incorrect
Question 20 of 20

20. Question
If (x+1) is a factor of the polynomial $f(x)=x^3-4x^2+x+6$ , find the remaining factors.
- (x+2)(x+3)
- (x-2)(x+3)
- (x-3)(x+2)
- (x-2)(x-3)
Correct

Incorrect

Login

Accessing this course requires a login. Please enter your credentials below!

Username or Email Address

Password

Remember Me

Lost Your Password?

Register

Don't have an account? Register one!

Register an Account

Username

Email

Registration confirmation will be emailed to you.