If a, b are the two roots of a quadratic equation such that a + b = 24 and a – b = 8, then the quadratic equation having a and b as its roots is :  Choose the correct choice from the following choices.
A) x2 + 2x + 8 = 0
B) x2 - 4x + 8 = 0
C) x2 - 24x + 128 = 0
D) 2x2 + 8x + 9 = 0
E) None of these
Sol.(c) a + b = 24 and a – b = 8   =&gt; a = 16 and b = 8 =&gt; ab = 16 × 8 = 128   A quadratic equation with roots a and b is   x2 - (a + b)x + ab = 0 or x2 - 24x + 128 = 0   Answer x2 - 24x + 128 = 0
<result>C</result>
If a, b are the two roots of a quadratic equation such that a + b = 24 and a – b = 8, then the quadratic equation having a and b as its roots is :