If `tan A & tan B` are the roots of the quadratic equation `x^2 - ax + b = 0`, then the value of `sin^2 (A +B)` 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 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 tan A and tan B are the roots of the quadratic equation, 3x^(2)-10x-25=0, then the value of 3sin^(2)(A+B)-10sin(A+B)*cos(A+B)-25cos^(2)(A+B) is

If the roots of the quadratic equation x^2 - ax + 2b = 0 are prime numbers, then the value of (a-b) is

If tan A & tan B are the roots of the quadratic equation a x^(2) +bx+c=0 then evaluate a sin^(2)(A+B)+b sin (A+B).cos (A+B)+cos^(2)(A+B)

If x = 2/3 and x =- 3 are the roots of the quadratic equation ax^(2) +7x+b = 0 then find the values of a and b.