Consider the quadratic equation x² - 2(a - 1)x + (2a + 1) = 0, where a is a real number that may take different values. A repeated root counts as two equal roots. Which of the following statements about its roots are correct?

MathematicsAdvancedHigh School (11–12)Algebra › Quadratic Equations JEE Advanced

Consider the quadratic equation $x^2 - 2(a - 1)x + (2a + 1) = 0$ , where $a$ is a real number that may take different values. A repeated root counts as two equal roots. Which of the following statements about its roots are correct?

One or more options are correct. Tick all the correct ones: a wrong option costs marks, and a part-right answer earns part of the marks.

← All Quizzes

← Let z be any complex number with |z| = 1 and z ≠ ±1, and let z be its conjugate. Which of the following statements are true for every such z?Consider the quadratic equation z² - (3 + i)z + (2 + 2i) = 0 in the complex number z. Its coefficients are not all real. Which of the following statements are correct? →

More onAlgebra › Quadratic Equations

Discussion (0)

Loading…

Discussion (0)

Problems on this topic