Quadratic Equations

Class 10 · Mathematics

81 questions29 easy34 medium18 hard

Sample Questions

Q1.The sum of the roots of 5x² + 3x − 10 = 0 is:

  • A−3/5
  • B3/5
  • C−2
  • D2

Q2.Two water taps can together fill a tank in 9 and 3/8 hours. The larger tap takes 10 hours less than the smaller one alone. Find the time for the smaller tap alone.

  • A15 hours
  • B20 hours
  • C25 hours
  • D30 hours

Q3.The quadratic formula for solving ax² + bx + c = 0 is:

  • Ax = (−b ± √D) / a
  • Bx = (−b ± √D) / 2a
  • Cx = (b ± √D) / 2a
  • Dx = −b / 2a ± √D

Q4.For what value of k does the equation 2kx² − 40x + 25 = 0 have real and equal roots?

  • Ak = 8
  • Bk = 10
  • Ck = 16
  • Dk = 4

Q5.Which of the following is a quadratic equation?

  • Ax³ + 2x + 1 = 0
  • Bx² + 3x + 2 = 0
  • C2x + 5 = 0
  • D1/x + 1 = 0

Q6.This is a sample question to preview what you'll get in the full practice test...

  • A. Option one
  • B. Option two
  • C. Option three
  • D. Option four

Concepts Covered

Completing the squareDiscriminantFactorisation methodNature of rootsQuadratic equationsQuadratic formulaStandard formWord problems

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