The value of p  for which both the roots of the equation 4x2−20px+(25p2+15p−66)=0  are less than 2, lies in:

The given equation is 4x2−20px+(25p2+15p−66)=0 Here Discriminant ≥0⇒400p2−16(25p2+15p−66)≥0           (∵  b2−4ac≥0)⇒−240p+1056≥0⇒p≤1056240 ⇒  p≤225Now roots are less than 2∴f(2)>0  and their sum <4⇒p2−p−2>0  and p<45⇒(P−2)(p+1)>0  and p<45⇒p>2  or p<−1  and p<45Combining, we get p∈(−∞,−1) .