CBSE Class 11 (Commerce) Complex Numbers and Quadratic Equations — practice questions
62 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice CBSE Class 11 (Commerce) Complex Numbers and Quadratic Equations 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) areWhat is the value of i squared, where i is the imaginary unit?The value of i cubed is equal to which of the following?What does i raised to the fourth power equal?The value of i to the power 5 isThe reciprocal 1/i simplifies to which complex number?What is i to the power 50 equal to?What is the sum 1 + i + i^2 + i^3?For z = 2 + i5, what are the real part and the imaginary part?What is the imaginary part of the complex number 7 - 3i?Two complex numbers a + ib and c + id are equal exactly whenIf 2x + 3 + i(y - 1) = 7 + 5i with real x and y, find x + y.Find the sum (2 + 3i) + (4 - 5i).Find the product (3 + 5i)(2 + 6i).Simplify (1 + i) squared.What is (1 - i) squared equal to?The product (2 + 3i)(2 - 3i) equalsFind (1 + i)(1 - i).Which complex number is the additive identity?Which statement is true for the sum of two complex numbers?Divide (6 + 3i) by (2 - i) and give the quotient.Simplify (1 + i) divided by (1 - i).The reciprocal of 1 + i, written in a + ib form, isWhat are the square roots of -3 among complex numbers?Evaluate (3i) squared.Multiply 3i by 2i.For z = 3 + 4i, the product of z and its conjugate isFind real x and y if (x - iy)(3 + 5i) is the conjugate of -6 - 24i.What is the plane called in which each point stands for a complex number?In the Argand plane, which point represents 2 + 4i?Which complex number is plotted at the point (-2, 3)?Numbers of the form a + i0 lie on which axis of the Argand plane?The number 0 + ib with b not zero is plotted on which axis?The conjugate of z = x + iy is the reflection of z in which line?Geometrically, the modulus of x + iy is the distance of its point fromWhich point in the Argand plane represents the number i?Why was the number system extended beyond the reals for x^2 + 1 = 0?A quadratic ax^2 + bx + c = 0 has no real roots when its discriminant isWhich expression gives the discriminant of ax^2 + bx + c = 0?A real-coefficient quadratic with negative discriminant has roots that areIf the discriminant of a real quadratic is positive, the roots areWhat are the roots of the equation x^2 + 4 = 0?Find the roots of x^2 - 2x + 5 = 0.For ax^2 + bx + c = 0, the sum of the two roots equalsWhich quadratic equation has the roots 2 and 3?Which real-coefficient quadratic has the roots 1 + i and 1 - i?Conjugating a complex number twice givesWho first used the symbol i for the square root of -1?Who regarded a + ib as an ordered pair of real numbers (a, b)?Cardan solved x + y = 10 and xy = 40 and got x = 5 plus root of what?Albert Girard accepted square roots of negative numbers so that an equation would have