NCERT/Class 10/Mathematics/Quadratic Equations

Quadratic Equations

Class 10 · Mathematics

81 questions29 easy34 medium18 hard

Sample Questions

Q1.In a class test, the sum of Shefali's marks in Math and English is 30. Had she got 2 more in Math and 3 less in English, the product of marks would have been 210. Find her marks in Math.

  • A12 or 13
  • B10 or 15
  • C8 or 20
  • D5 or 25

Q2.The standard form of a quadratic equation is:

  • Aax + b = 0, a ≠ 0
  • Bax² + bx + c = 0, a ≠ 0
  • Cax² + bx = 0
  • Dax² + c = 0

Q3.For what value of k does kx² + 2x − 1 = 0 have equal roots?

  • Ak = 1
  • Bk = −1
  • Ck = 4
  • Dk = 2

Q4.Solve: 9x² − 6x + 1 = 0.

  • Ax = 1/3 (equal roots)
  • Bx = 3 (equal roots)
  • Cx = 1/3 and x = 1
  • DNo real roots

Q5.If 2 is a root of x² + px + 12 = 0, and x² + px + q = 0 has equal roots, find q.

  • Aq = 49/4
  • Bq = 16/4 = 4
  • Cq = 36/4 = 9
  • Dq = 25/4

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
Create a test to practice all 81 questions →

Concepts Covered

Completing the squareDiscriminantFactorisation methodNature of rootsQuadratic equationsQuadratic formulaStandard formWord problems

Ready to practice?

Create a timed test from 81 questions in Quadratic Equations. Pick your difficulty, get instant scores.

Start Practice Test