Class 11 · ICSE · Mathematics

Quadratic Equations

Roots of a quadratic equation with real and complex coefficients, the discriminant, and relations between roots and coefficients.

Questions

6 questions in this chapter.

Answer available
Class 11 · Mathematics · Quadratic Equations
If α and β are the roots of x² − 5x + 6 = 0, find α² + β².
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Quadratic Equations
Form the quadratic equation whose roots are 3 and −7.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Quadratic Equations
If α and β are the roots of 3x² − 6x + 2 = 0, find 1/α + 1/β.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Quadratic Equations
Solve the equation x² + 4 = 0 over the complex numbers.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Quadratic Equations
Solve 2x² − 4x + 3 = 0 over the complex numbers.
3 marksMediumNumerical
Answer available
Class 11 · Mathematics · Quadratic Equations
Solve x² − 2x + 5 = 0.
3 marksMediumNumerical