alleryStart learning →The number 0 + ib with b not zero is plotted on which axis?
- Line x = y
- Imaginary axis
- Line x = 1
- Real axis
Show answer and solution
Correct answer: B. Imaginary axis
The point (0, b) lies on the y-axis, which is named the imaginary axis.
MHT-CET Complex Numbers and Quadratic Equations — practice questions — page 2
Explore 72 free Complex Numbers and Quadratic Equations questions in MHT-CET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Complex Numbers and Quadratic Equations with Quill →Complex Numbers and Quadratic Equations questions and exercises with answers
Showing questions 31–60 of 72.
The number 0 + ib with b not zero is plotted on which axis?Read the answer and worked solution →Geometrically, the modulus of x + iy is the distance of its point fromRead the answer and worked solution →Which point in the Argand plane represents the number i?Read the answer and worked solution →Why was the number system extended beyond the reals for x^2 + 1 = 0?Read the answer and worked solution →A quadratic ax^2 + bx + c = 0 has no real roots when its discriminant isRead the answer and worked solution →Which expression gives the discriminant of ax^2 + bx + c = 0?Read the answer and worked solution →A real-coefficient quadratic with negative discriminant has roots that areRead the answer and worked solution →If the discriminant of a real quadratic is positive, the roots areRead the answer and worked solution →What are the roots of the equation x^2 + 4 = 0?Read the answer and worked solution →Find the roots of x^2 - 2x + 5 = 0.Read the answer and worked solution →For ax^2 + bx + c = 0, the sum of the two roots equalsRead the answer and worked solution →Which quadratic equation has the roots 2 and 3?Read the answer and worked solution →Which real-coefficient quadratic has the roots 1 + i and 1 - i?Read the answer and worked solution →Conjugating a complex number twice givesRead the answer and worked solution →Who first used the symbol i for the square root of -1?Read the answer and worked solution →Who regarded a + ib as an ordered pair of real numbers (a, b)?Read the answer and worked solution →Cardan solved x + y = 10 and xy = 40 and got x = 5 plus root of what?Read the answer and worked solution →Albert Girard accepted square roots of negative numbers so that an equation would haveRead the answer and worked solution →In the complex number 7 - 4i, what is the imaginary part?Read the answer and worked solution →A real number such as 9 is written as a complex number in which form?Read the answer and worked solution →Which complex number is purely imaginary?Read the answer and worked solution →In the complex plane, which axis is used to show the real part?Read the answer and worked solution →What is the conjugate of the conjugate of 4 - 3i?Read the answer and worked solution →A complex number z satisfies z = conj(z). What must z be?Read the answer and worked solution →The modulus of 5 - 12i equals which value?Read the answer and worked solution →All complex numbers z with |z| = 1 lie on which curve?Read the answer and worked solution →The argument of z is measured from which reference direction?Read the answer and worked solution →When two complex numbers are multiplied in polar form, what happens to the arguments?Read the answer and worked solution →Two numbers have moduli 2 and 3. What is the modulus of their product?Read the answer and worked solution →Which formula computes the n-th power of a complex number in polar form?Read the answer and worked solution →
Worked practice questions
Geometrically, the modulus of x + iy is the distance of its point from
- the y-axis line
- the origin point
- the x-axis line
- the point (1, 1)
Show answer and solution
Correct answer: B. the origin point
The distance from (x, y) to the origin is the square root of x^2 + y^2, which is the modulus.
Which point in the Argand plane represents the number i?
- (0, 1)
- (0, -1)
- (1, 0)
- (1, 1)
Show answer and solution
Correct answer: A. (0, 1)
i is 0 + 1i, which corresponds to the ordered pair (0, 1).
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