JEE Main Mathematics: Quadratic Equations Practice Questions

14 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

  1. Q1.
    Which of the following is a root of the equation x squared minus 9 equals 0?
    Easy
  2. Q2.
    Find the roots of the quadratic equation x squared minus 5x plus 6 equals 0.
    Easy
  3. Q3.
    If the sum of the roots of the equation x squared minus kx plus 8 equals 0 is 6, find the value of k.
    Easy
  4. Q4.
    What is the discriminant of the quadratic equation 2x squared plus 4x plus 1 equals 0?
    Easy
  5. Q5.
    Find the product of the roots of the equation 3x squared plus 5x minus 2 equals 0.
    Easy
  6. Q6.
    If the roots of the equation x squared minus bx plus c equals 0 are two consecutive integers, then b squared minus 4c equals
    Medium
  7. Q7.
    The set of all values of k for which the quadratic equation x squared plus 2(k minus 1)x plus k plus 5 equals 0 has roots of opposite signs is
    Medium
  8. Q8.
    The number of real solutions of the equation x squared minus 3 times absolute value of x plus 2 equals 0 is
    Medium
  9. Q9.
    If alpha and beta are the roots of the equation x squared minus 6x plus 2 equals 0, then the value of alpha to the power 4 plus beta to the power 4 is
    Medium
  10. Q10.
    If alpha and beta are the roots of the equation x squared minus 6x plus 2 equals 0, and a sub n equals alpha to the power n minus beta to the power n for n grea
    Hard
  11. Q11.
    The number of real solutions of the equation x squared minus 2 times absolute value of x minus 3 equals 0 is:
    Hard
  12. Q12.
    If the roots of the equation x squared minus bx plus c equals 0 are two consecutive integers, then the value of b squared minus 4c is:
    Hard
  13. Q13.
    Find the set of all values of a for which the equation x squared minus 2ax plus a squared plus a minus 3 equals 0 has both roots less than 3.
    Hard
  14. Q14.
    Let p and q be real numbers such that p is not equal to 0. If the equations x squared plus px plus q equals 0 and x squared plus qx plus p equals 0 have a commo
    Hard

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Quadratic Equations — JEE Main Mathematics Practice Questions with Solutions | SolveGini