# Arithmetic Progression-Sample Papers

Class X Math
Test For QUadratic Equations
Total Marks: 30
Total Time: 60 min
1.    Find the value of �k� for which the quadratic equation kx2 – 5x + k = 0 have real roots.
(2 Marks)
2.    If – 4 is a root of the quadratic equation x2 + px – 4 = 0 and x2 + px + k = 0 has equal roots, find the value of k.
(2 Marks)
3.    For what value of k, does the given equation have real and equal roots?
(k + 1) x2 – 2 (k – 1) x + 1 = 0.
(2 Marks)
4.    Using quadratic formula, solve the following quadratic equation for x:
x2 – 2ax + (a2 – b2) = 0
(3 Marks)
5.    For what value of k are the roots of the quadratic equation 3x2 + 2kx + 27 = 0 real and equal?
(2 Marks)
6.    For what value of k are the roots of the quadratic equation kx2 + 4x + 1 = 0 equal and real?
(2 Marks)
7.    Solve the following quadratic equation:
2x2 + 4x – 8 = 0
(3 Marks)
8.    Solve: (4 Marks)
9.    Solve for x: 36x2 – 12ax + (a2 – b2) = 0.
(5 Marks)
10.    Solve: 16x2 – 8a2x + (a4 – b4) = 0 for x.
(5 Marks)