Class 10 · Maths · Quadratic Equations

Roots, discriminant, nature of roots, word problemsPractice Questions & MCQs

Practice Roots, discriminant, nature of roots, word problems questions from Quadratic Equations (Class 10 Maths) - important MCQs with answers and step-by-step solutions. Solve the sample questions below, then practice the full set free on the RankByte app.

Roots, discriminant, nature of roots, word problemsQuiz - Solve & Score

  1. Q1. For which value of k does 9x^2 + 6kx + 4 = 0 have equal roots?

    • A.±2
    • B.2
    • C.-2
    • D.±4

    Answer: A. ±2

  2. Q2. What are the two values of x that satisfy x^2 - 5x + 6 = 0 when it is solved by factorisation?

    • A.5 and 6
    • B.-5 and 6
    • C.-2 and -3
    • D.2 and 3

    Answer: D. 2 and 3

    Look for two numbers with product a*c = 6 and sum b = -5, split the middle term, and factorise. The factors vanish at x = 2 and x = 3, so these are the roots.

  3. Q3. Splitting the middle term of x^2 - 2x - 15 = 0, which two roots are obtained?

    • A.3 and -5
    • B.-3 and 5
    • C.-2 and -15
    • D.2 and -15

    Answer: B. -3 and 5

    Look for two numbers with product a*c = -15 and sum b = -2, split the middle term, and factorise. The factors vanish at x = -3 and x = 5, so these are the roots.

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Roots, discriminant, nature of roots, word problems - Frequently asked questions

Where can I practise Roots, discriminant, nature of roots, word problems questions for Class 10 Maths?

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Are these Roots, discriminant, nature of roots, word problems questions important for the exam?

Yes. These Roots, discriminant, nature of roots, word problems important questions follow the Maths exam pattern (CBSE Boards, plus JEE and NEET foundation), so they help with both school and competitive prep.

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