CBSE Class 11 Complex Numbers — practice questions
32 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 Complex Numbers in the app →The value of i⁴ⁿ⁺³ (n a positive integer) isThe modulus of the complex number 3 + 4i isThe conjugate of (2 − 3i) isIf z = 1 + i, then z² equalsThe argument (principal value) of the complex number i isThe multiplicative inverse of (3 + 4i) isFor complex numbers, which relation is NOT defined?The roots of x² + 1 = 0 areIf z = a + ib is purely imaginary, thenThe value of (1 + i)/(1 − i) is|z₁ z₂| equalsIn z = a + ib, Re(z) and Im(z) areThe complex number i is defined by:For the complex number z = 2 + 5i, Re z and Im z are:The conjugate of the complex number z = 2 - 5i is:If 4x + i(3x - y) = 3 + i(-6), then x and y are:Compute (3 + 5i)(2 + 6i).What is i^35?The modulus |3 + i| equals:The multiplicative inverse of z = 2 - 3i is:Express (5 + √2 i)/(1 - √2 i) in the form a + ib.For any positive real numbers a and b, the identity √a × √b = √(ab) holds. What if BOTH a and b are NEGATIVE?Find the value of i^(-39).Compute (5 - 3i)³.In the Argand plane, the complex number z = x + iy and its conjugate z̄ = x - iy are represented by points thaIf x + iy = (a + ib)/(a - ib), then x² + y² equals:Identify the multiplicative inverse of -i.Identify the standard form of (-i)(2i)(-i/8)³.The conjugate of $z = 3 - 4i$ is:The modulus of $z = 5 + 12i$ is:Using De Moivre's theorem, $(\cos\theta + i in\theta)^4$ equals:The number of distinct $n$th roots of a non-zero complex number is: