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This section includes 13 Mcqs, each offering curated multiple-choice questions to sharpen your Mathematics knowledge and support exam preparation. Choose a topic below to get started.
1. |
Convert -1-i into polar form. |
A. | \(\sqrt{2}\), 5π/4 |
B. | \(\sqrt{2}\), 3π/4 |
C. | \(\sqrt{2}\), -3π/4 |
D. | \(\sqrt{2}\), π/4 |
Answer» D. \(\sqrt{2}\), π/4 | |
2. |
Convert -1+i into polar form. |
A. | \(\sqrt{2}\), 5π/4 |
B. | \(\sqrt{2}\), 3π/4 |
C. | –\(\sqrt{2}\), π/4 |
D. | \(\sqrt{2}\), π/4 |
Answer» C. –\(\sqrt{2}\), π/4 | |
3. |
Convert (8, 2π/3) into Argand plane representation. |
A. | (-4, 4\(\sqrt{3}\)) |
B. | (4, 4\(\sqrt{3}\)) |
C. | (4\(\sqrt{3}\), 4) |
D. | (-4\(\sqrt{3}\), 4) |
Answer» B. (4, 4\(\sqrt{3}\)) | |
4. |
In polar representation of a complex number (r, π/2) lies on ____________ |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» C. z-axis | |
5. |
In polar representation of a complex number (r, 2π) lies on ____________ |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» B. y-axis | |
6. |
If P and Q are conjugate complex numbers then their points on argand plane are mirror image on __________________ |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» B. y-axis | |
7. |
Find mirror image of point representing x+i y on imaginary axis. |
A. | (x, y) |
B. | (-x, -y) |
C. | (-x, y) |
D. | (x, -y) |
Answer» D. (x, -y) | |
8. |
Find mirror image of point representing x+i y on real axis. |
A. | (x, y) |
B. | (-x, -y) |
C. | (-x, y) |
D. | (x, -y) |
Answer» E. | |
9. |
\(\sqrt{x^2+y^2}\) distance of point representing complex number x+y i from origin. |
A. | True |
B. | False |
Answer» B. False | |
10. |
6i is point on ____________________ |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» C. z-axis | |
11. |
2+i0 is point on ______________ |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» B. y-axis | |
12. |
Which axis is known as imaginary axis in argand plane? |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» C. z-axis | |
13. |
Which axis is known as real axis in argand plane? |
A. | x-axis |
B. | y-axis |
C. | z-axis |
D. | any axis |
Answer» B. y-axis | |