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CBSE Class 11 Complex Numbers — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane — practice questions
16 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 — Algebra, Powers of i, Modulus, Conjugate, Multiplicative Inverse, Argand Plane in the app →The 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.