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Punjab (PTB) · Chapter test · Free

10th Class Mathematics Chapter 1 TestUNIT 1: COMPLEX NUMBERS

30 marks · 40 minutes · 21 questions. Covers: UNIT 1: COMPLEX NUMBERS.

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10th Class Mathematics Chapter 1 Test

10th Class · Mathematics · Punjab (PTB)

Name: ____________Roll No: ________Class/Section: ________Date: ________Total marks: 30Time: 40 minutes

Q1. Multiple choice questions (Attempt all · 10 × 1 = 10)

  1. The additive inverse of  is:

    1. (-2+7i)

  2. Conjugant of  is:

  3. If y=0 the complex number is said to be:

    1. Real

    2. Imaginary

    3. Even

    4. Prime

  4. If  then =

    1. 13-7i

    2. 169

    3. 812

    4. 218

  5. =......:

  6. The Conjugate of -11i is:

    1. 11i

    2. -11

    3. -11i

  7. Which is the associative property of complex numbers?

  8. If  then 3z=......:

  9. =......

  10. If  then x=......:

Q2. Short questions (Attempt any 6 of 8 · 6 × 2 = 12)

  1. Under what condition are two complex number equal?

  2. Simplify and write in the form of a+b: 

  3. If  and , then verify that: 

  4. Simplify: 

  5. If , then prove that 

  6. Is 0 a complex number? Explain.

  7. For any two complex number  and  we have .

  8. Write additive inverse for the following complex number: 

Q3. Long questions (Attempt any 2 of 3 · 2 × 4 = 8)

  1. Solve the given simultaneous linear equations with complex coefficients for z and w: 

  2. Solve: 

  3. Find the values of x and y: