alleryStart learning →What is the value of i squared, where i is the imaginary unit?
- 1
- -i
- i
- -1
Show answer and solution
Correct answer: D. -1
Since i is defined as the square root of -1, squaring it returns -1.
MHT-CET Complex Numbers and Quadratic Equations — practice questions
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 1–30 of 72.
What is the value of i squared, where i is the imaginary unit?Read the answer and worked solution →What does i raised to the fourth power equal?Read the answer and worked solution →The value of i to the power 5 isRead the answer and worked solution →The reciprocal 1/i simplifies to which complex number?Read the answer and worked solution →What is i to the power 50 equal to?Read the answer and worked solution →What is the sum 1 + i + i^2 + i^3?Read the answer and worked solution →For z = 2 + i5, what are the real part and the imaginary part?Read the answer and worked solution →What is the imaginary part of the complex number 7 - 3i?Read the answer and worked solution →Two complex numbers a + ib and c + id are equal exactly whenRead the answer and worked solution →If 2x + 3 + i(y - 1) = 7 + 5i with real x and y, find x + y.Read the answer and worked solution →Find the sum (2 + 3i) + (4 - 5i).Read the answer and worked solution →Find the product (3 + 5i)(2 + 6i).Read the answer and worked solution →Simplify (1 + i) squared.Read the answer and worked solution →What is (1 - i) squared equal to?Read the answer and worked solution →The product (2 + 3i)(2 - 3i) equalsRead the answer and worked solution →Find (1 + i)(1 - i).Read the answer and worked solution →Which complex number is the additive identity?Read the answer and worked solution →Which statement is true for the sum of two complex numbers?Read the answer and worked solution →Divide (6 + 3i) by (2 - i) and give the quotient.Read the answer and worked solution →Simplify (1 + i) divided by (1 - i).Read the answer and worked solution →The reciprocal of 1 + i, written in a + ib form, isRead the answer and worked solution →What are the square roots of -3 among complex numbers?Read the answer and worked solution →Evaluate (3i) squared.Read the answer and worked solution →Multiply 3i by 2i.Read the answer and worked solution →For z = 3 + 4i, the product of z and its conjugate isRead the answer and worked solution →Find real x and y if (x - iy)(3 + 5i) is the conjugate of -6 - 24i.Read the answer and worked solution →What is the plane called in which each point stands for a complex number?Read the answer and worked solution →In the Argand plane, which point represents 2 + 4i?Read the answer and worked solution →Which complex number is plotted at the point (-2, 3)?Read the answer and worked solution →Numbers of the form a + i0 lie on which axis of the Argand plane?Read the answer and worked solution →
Worked practice questions
What does i raised to the fourth power equal?
- 1
- i
- -1
- -i
Show answer and solution
Correct answer: A. 1
i to the fourth is (i squared) squared, which is (-1) squared, giving 1.
The value of i to the power 5 is
- i
- 1
- -1
- -i
Show answer and solution
Correct answer: A. i
Power 5 equals 4 plus 1, so i to the fifth is i to the fourth times i, which is i.
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