Class 10 · ICSE · Mathematics

Quadratic Equations

Solving quadratic equations by factorisation and by formula, the nature of roots, and word problems that reduce to a quadratic equation.

Questions: 27
PYQs: 0
Topics: 4

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Solving by Factorisation1 Solving by Formula1 Nature of Roots and Discriminant2 Word Problems on Quadratic Equations2

Questions

27 questions in this chapter.

Answer available
Class 10 · Mathematics · Quadratic Equations
Solve x² − 2x − 8 = 0 and verify the roots by substitution.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
Solve 4x² + 4√3x + 3 = 0.
3 marksHardNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
Assertion: the equation x² + 4 = 0 has no real roots. Reason: the discriminant of x² + 4 = 0 is −16. State whether the assertion and the reason are true and whether the reason explains the assertion.
2 marksMediumAssertion–reason
Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of a number and its reciprocal is 26/5. Find the number.
4 marksHardApplication based
Answer available
Class 10 · Mathematics · Quadratic Equations
If the roots of a quadratic equation are real and equal, then the discriminant is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Quadratic Equations
Solve for x: 3x² − 5x − 2 = 0.
3 marksEasyNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of the roots of x² − 7x + 12 = 0 is:
1 markMediumMCQ
Answer available
Class 10 · Mathematics · Quadratic Equations
State the condition on the discriminant for a quadratic equation to have two distinct real roots.
2 marksEasyShort answer
Answer available
Class 10 · Mathematics · Quadratic Equations
Solve for x: 2x² − 7x + 3 = 0.
3 marksEasyNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
Solve x² − (√3 + 1)x + √3 = 0.
3 marksHardNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
Find the value of k for which the equation kx² − 6x + 9 = 0 has equal roots.
3 marksMediumNumerical
Answer available
Class 10 · Mathematics · Quadratic Equations
The sum of the ages of a father and his son is 45 years and the product of their ages is 350. Find their present ages.
4 marksHardApplication based

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