If `tan alpha ,tan beta ` are th roots of the eqution `x^2+px+q=0 (p != 0)` Then `sin^2(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+qcos^2(alpha+beta)=`

If tan alpha,tan beta are th roots of the eqution x^(2)+px+q=0(p!=0) Then sin^(2)(alpha+beta)+p sin(alpha+beta)cos(alpha+beta)+q cos^(2)(alpha+beta)=

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0(p!=0), then (i) sin(alpha+beta)=-p( ii) tan(alpha+beta)=(p)/(q-1) (iii) cos(alpha+beta)=(1-q)( iv) none of these

If tan alpha, tan beta are the roots of the equation x^(2)+px+q=0,(p!=0), then (i) sin(alpha+beta)=-p( ii) tan(alpha+beta)=(p)/(q-1) (iii) cos(alpha+beta)=(1-q)( iv) none of these

tan alpha and tan beta are roots of the equation x^(2)+ax+b=0, then the value of sin^(2)(alpha+beta)+a sin(alpha+beta)*cos(alpha+beta)+b cos^(2)(alpha+beta) is equal to

Q.If tan alpha and tan beta are the roots of equation x^(2)-12x-3=0, then the value of sin^(2)(alpha+beta)+2sin(alpha+beta)cos(alpha+beta)+5cos^(2)(alpha+beta) is

2sin^(2)beta+4cos(alpha+beta)sin alpha sin beta+cos2(alpha+beta)=