Home › CBSE Class 11 (Commerce) › Mathematics › Complex Numbers and Quadratic Equations › Which real-coefficient quadratic has the roots 1…
Which real-coefficient quadratic has the roots 1 + i and 1 - i?
Ax^2 - 2x - 2 = 0
Bx^2 - 2x + 1 = 0
Cx^2 + 2x + 2 = 0
Dx^2 - 2x + 2 = 0
Answer & Solution
Correct answer: D. x^2 - 2x + 2 = 0
Sum is 2 and product is 1 + 1 = 2, so the equation is x^2 - 2x + 2 = 0.
Related questions
If x is real and |x + 3i| = 5, which values can x take?Which property explains why (2 + 3i)(1 − i) equals (1 − i)(2 + 3i)?Because complex numbers obey the usual associative, commutative and distributive laws, whaWhat is the real part of the reciprocal of a + ib (not both zero)?If z = −z̄ for a complex number z, which statement is correct?If a complex number z equals its own conjugate, what kind of number is z?For z = a + ib, the sum z + z̄ equals what?Taking the conjugate of the conjugate of z gives which result?