If p and q are roots of the quadratic equation `x^(2) + mx + m^(2) + a = 0`, then the value of `p^(2) + q^(2) + pq`, is

If tan A and tan B are the roots of the quadratic equation x^2-px + q =0 then value of sin^2(A+B)

If the roots of the quadratic equation x^(2)+px+q=0 are tan 30^(@) and tan15^(@) , then value of 2+q-p is

Let p, q in R . If 2- sqrt3 is a root of the quadratic equation, x^(2)+px+q=0, then

If the roots of the quadratic equation x^2 +px+q=0 are tan 30 ^@ and tan 15^@ , respectively then the value of 2 + q-p is

If the roots of the equation x^2 + px-q = 0 are tan 30^@ and tan 15^@ then the value of 2-q-p is

If the roots of the equadratic equation x^(2) + px + q = 0 " are " tan23^(@) "and" tan22^(@), then find the value of q - p .

If p,q are roots of the quadratic equation x^(2)-10rx -11s =0 and r,s are roots of x^(2)-10px -11q=0 then find the value of p+q +r+s.

If p, q are the roots of the quadratic equation x2 + 2bx + c = 0, prove that 2log (√(y – p) + √(y – q)) = log2 + log(y + b + √(y2 + 2by + c))

If (1-p) is a root of quadratic equation x^2+p x+(1-p)=0, then find its roots.