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10 Class Math Chapter wise Class test 2027 | Chapter 1 Test 3 Complex Numbers | free pdf download
Class 10 Math Chapter 1 Complex Numbers Test 3 Excercise 3.3 and Review Exercise is prepared for students studying Class 10 Mathematics. This Complex Numbers Chapter 1 Test contains objective-type MCQs, short-answer questions, and subjective questions based on important concepts of Unit 1. Students can use this Class 10 Math Chapter Wise Test for classroom assessment, revision, practice, and examination preparation. The complete Complex Numbers Test PDF is available for download and printing.
Unit Wise Class Test
T-3
Unit 1: Complex Numbers
Time: 5 minutes
(Objective Type)
Total Marks: 5
1. Tick the correct answer.
(1 × 5 = 5)
(i)
z = x + iy is called a complex number where
i =
(ii)
Additive inverse of 1 + i is
(iii)
If (2 + i)i = x + 2i, then x =
(iv)
If z = x + yi then
z + z̄ =
(v)
z z̄ =
Unit Wise Class Test
T-3
Unit 1: Complex Numbers
Time: 35 minutes
(Subjective Type)
Total Marks: 20
2. Write short answers to the following questions:
(6 × 2 = 12)
(i)
Find the modulus of the following complex numbers:
4 + 3i
(ii)
If z1 = 2 + 7i and
z2 = 4 − 3i, then verify that:
z̄1 + z̄2
=
z̄1 + z̄2
(iii)
If z = 5 − 2i, then verify that:
z̄̄ = z
(iv)
If z = 4 − 3i, then verify that:
|z| = |−z| = |z̄| = |−z̄|
(v)
Define a complex number.
(vi)
Find real and imaginary parts of
z = (2 + 7i)−1.
Note: Answer the following Questions.
(4 + 4 = 8)
3.
Find real and imaginary parts of
z = (4 + 3i)−2.
4.
Solve the given simultaneous linear equations with
complex coefficients for z and w:
iz + (2 − i)w = 4 + i
iz + (3 + i)w = 3 + 3i
