alleryThe value of (1 + i)/(1 − i) is
- −i
- −1
- 1
- i
Show answer and solution
Correct answer: D. i
Multiply num and denom by (1+i): (1+i)²/((1)²+(1)²) = 2i/2 = i.
JEE Advanced Complex Numbers and Quadratic Equations — practice questions — page 2
Explore 40 free Complex Numbers and Quadratic Equations questions in JEE Advanced Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
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Showing questions 31–40 of 40.
The value of (1 + i)/(1 − i) isRead the answer and worked solution →|z₁ z₂| equalsRead the answer and worked solution →In z = a + ib, Re(z) and Im(z) areRead the answer and worked solution →Quadratic discriminant — true or false?Read the answer and worked solution →Sort: does the quadratic have real or complex roots?Read the answer and worked solution →Match the complex number form to its representationRead the answer and worked solution →Match each complex number partRead the answer and worked solution →Key in the power of iRead the answer and worked solution →Real or imaginary?Read the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →
Worked practice questions
|z₁ z₂| equals
- |z₁||z₂|
- |z₁|/|z₂|
- |z₁|−|z₂|
- |z₁|+|z₂|
Show answer and solution
Correct answer: A. |z₁||z₂|
The modulus is multiplicative: |z₁z₂| = |z₁||z₂|.
In z = a + ib, Re(z) and Im(z) are
- a and ib
- b and a
- a and b
- ib and a
Show answer and solution
Correct answer: C. a and b
Re(z) = a (real part), Im(z) = b (imaginary part, the real coefficient of i).
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