Q1/10: What is the fundamental period of the function f(x) = sin(2x)?
Anonymous Quiz
28%
pi
34%
2pi
19%
pi/2
13%
4pi
6%
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Q2/10: Assertion (A): cos 2x = cos^2 x - sin^2 x.
Reason (R): This trigonometric identity is valid only for acute angles.
Reason (R): This trigonometric identity is valid only for acute angles.
Anonymous Quiz
54%
Both A and R are true and R is correct explanation
31%
Both A and R are true but R is not correct
12%
A is true but R is false
4%
A is false but R is true
0%
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Q3/10: Evaluate: cos 20 degrees * cos 40 degrees * cos 80 degrees.
Anonymous Quiz
46%
1/4
27%
1/8
23%
1/16
4%
1/2
0%
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Q4/10: HOTS: If sin x + sin y = a and cos x + cos y = b, find the value of cos(x - y).
Anonymous Quiz
73%
(a^2 + b^2 - 2) / 2
23%
(a^2 + b^2) / 2
5%
(a^2 - b^2) / 2
0%
a^2 + b^2 - 1
0%
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Q5/10: What is the value of tan(pi / 8)?
Anonymous Quiz
48%
sqrt(2) - 1
32%
sqrt(2) + 1
12%
1 - sqrt(2)
4%
1 + sqrt(2)
4%
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Q6/10: What is the value of i^9 + i^19?
Anonymous Quiz
48%
0
38%
2i
10%
-2i
3%
2
0%
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Q7/10: Express the complex number (1 - i)^4 in the form a + ib.
Anonymous Quiz
59%
4 + 0i
24%
-4 + 0i
10%
0 - 4i
7%
0 + 4i
0%
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Q8/10: Find the modulus of the complex number z = 3 - 4i.
Anonymous Quiz
61%
5
32%
25
3%
7
5%
1
0%
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Q9/10: What is the conjugate of the complex number z = 2 + 3i?
Anonymous Quiz
67%
2 - 3i
19%
-2 - 3i
8%
-2 + 3i
3%
3 + 2i
3%
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Q10/10: What is the multiplicative inverse of 4 - 3i?
Anonymous Quiz
61%
4/25 + 3i/25
21%
4/25 - 3i/25
12%
-4/25 + 3i/25
3%
-4/25 - 3i/25
3%
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Answer today's quiz questions and test your knowledge.
Every question is a step toward exam success!
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Good luck!
Q1/10: What is the principal argument of the complex number -1 - i?
Anonymous Quiz
69%
-3pi/4
14%
3pi/4
10%
-pi/4
3%
5pi/4
3%
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Q2/10: Competency: In an electrical circuit, impedance is Z = R + jX. If two impedances Z1 = 2 + 3j and Z2 = 4 - j are in series, what is the total impedance Z = Z1 + Z2? (Here j represents the imaginary unit)
Anonymous Quiz
81%
6 + 2j
11%
6 - 2j
7%
2 + 4j
0%
8 - 3j
0%
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Q3/10: Find the values of real numbers x and y if (x + iy)(2 - 3i) = 4 + i.
Anonymous Quiz
71%
x = 5/13, y = 14/13
13%
x = 14/13, y = 5/13
13%
x = 5/13, y = -14/13
3%
x = -5/13, y = 14/13
0%
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Q4/10: Assertion (A): The modulus of i is 1.
Reason (R): For any complex number z = x + iy, the modulus is given by sqrt(x^2 + y^2).
Reason (R): For any complex number z = x + iy, the modulus is given by sqrt(x^2 + y^2).
Anonymous Quiz
85%
Both A and R are true and R is correct explanation
7%
Both A and R are true but R is not correct
0%
A is true but R is false
7%
A is false but R is true
0%
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Q5/10: The polar form of the complex number z = sqrt(3) + i is:
Anonymous Quiz
82%
2(cos(pi/6) + i sin(pi/6))
11%
2(cos(pi/3) + i sin(pi/3))
7%
sqrt(2)(cos(pi/6) + i sin(pi/6))
0%
2(cos(pi/4) + i sin(pi/4))
0%
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🔥1
Q6/10: Evaluate (1+i)^6 + (1-i)^6.
Anonymous Quiz
71%
0
7%
16
18%
-16i
0%
16i
4%
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Q7/10: If z is a purely imaginary number and z is not zero, then the principal argument of z can be:
Anonymous Quiz
71%
pi/2 or -pi/2
13%
0 or pi
6%
pi/4
3%
pi
6%
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Q8/10: HOTS: If |z1| = |z2| = 1 and z1 * z2 is not -1, then the complex number (z1 + z2) / (1 + z1 * z2) is always:
Anonymous Quiz
72%
Purely real
14%
Purely imaginary
7%
Having real part 1
7%
Having modulus 1
0%
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