10th Class Mathematics Test Unit 1- Quadratic Equation

Unit 1 – Quadratic Equation

Quiz

 

1. What is the general form of a quadratic equation?
   1.   ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0
   2.   ax+b=0ax + b = 0ax+b=0
   3.   ax3+bx2+c=0ax^3 + bx^2 + c = 0ax3+bx2+c=0
   4.   a2+b2+c2=0a^2 + b^2 + c^2 = 0a2+b2+c2=0
2. If the quadratic equation is x2−5x+6=0x^2 - 5x + 6 = 0x2−5x+6=0, what are its roots?
   1.   2, 3
   2.   ) -2, -3
   3.   5, 6
   4.   1, 6
3. The discriminant of a quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 is given by:
   1.   b2−4acb^2 - 4acb2−4ac
   2.   b2+4acb^2 + 4acb2+4ac
   3.   −b2−4ac-b^2 - 4ac−b2−4ac
   4.   (b−2ac)2(b - 2ac)^2(b−2ac)2
4. 
   What is the value of the discriminant for x2−4x+4=0x^2 - 4x + 4 = 0x2−4x+4=0?
   
   1.   0
   2.   4
   3.   8
   4.   16
5. For a quadratic equation, if the discriminant (b2−4acb^2 - 4acb2−4ac) is negative, the
   roots are:
   
   1.   Real and distinct
   2.   Real and equal
   3.   Complex
   4.   Zero
6. Solve x2−9=0x^2 - 9 = 0x2−9=0. What are the roots?
   1.   3, -3
   2.   0, 3
   3.   9, -9
   4.   0, -3
7. Which method is used to find the roots of a quadratic equation?
   1.   Factorization
   2.   Quadratic formula
   3.   Completing the square
   4.   All of the above
8. If one root of the quadratic equation x2−7x+10=0x^2 - 7x + 10 = 0x2−7x+10=0 is 5, what is the other root?
   1.   2
   2.   7
   3.   -5
   4.   10
9. The quadratic equation 2x2+3x−2=02x^2 + 3x - 2 = 02x2+3x−2=0 has:
   1.   The quadratic equation 2x2+3x−2=02x^2 + 3x - 2 = 02x2+3x−2=0 has:
   2.   Real and equal roots
   3.   Complex roots
   4.   No roots
10. The sum of the roots of the quadratic equation ax2+bx+c=0ax^2 + bx + c = 0ax2+bx+c=0 is:
    1.   −b/a-b/a−b/a
    2.   b/ab/ab/a
    3.   −c/a-c/a−c/a
    4.   c/ac/ac/a