Roots, discriminant, nature of roots, word problems MCQs
Practice Roots, discriminant, nature of roots, word problems multiple-choice questions from Quadratic Equations (Class 10 Maths) - tap an answer for instant feedback and a step-by-step solution. Practice the full set free on the RankByte app.
Roots, discriminant, nature of roots, word problemsQuiz - Solve & Score
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
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.
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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