In a triangle ABC the sides b and c are the roots of the equation `x^2-61x+820=0 and A=tan^-1(4/3) then a^2+3` is equal to

If in a triangle ABC , tan A/2 and tan B/2 are the roots of the equation 6x^(2)-5x+1=0 , then

In a triangle ABC, a=4 , b=3, A=60^(@), then c is the root of the equation-

In a triangle ABC a= 4 , b= 3 , angle A =60 ^@ ,Then c is root of equation :-

In a triangle A B C ,/_C=pi/2dot If tan(A/2)a n dtan(B/2) are the roots of the equation a x^2+b x+c=0,(a!=0), then the value of (a+b)/c (where a , b , c , are sides of opposite to angles A , B , C , respectively) is

If A, B, C are the angles of triangle ABC and tan A, tan B, tan C are the roots of the equation x^(4)-3x^(3)+3x^(2)+2x+5=0 , if the fourth root of the equation is tan D then find 3tan D .

In Delta PQR , /_R=pi/4 , tan(P/3) , tan(Q/3) are the roots of the equation ax^2+bx+c=0 , then

In in a triangle ABC , sides a,b,c are in A.P. then tan""A/2 tan""C/2

If x=1 is a common root of the equations a x^2+a x+3=0 and x^2+x+b=0 , then a b=

If sin theta and - cos theta are the roots of the equation ax^2-bx-c=0 where a, b and c the side of a triangle ABC , then cos B is equal to :-

Let A, B and C are the angles of a plain triangle and tan(A/2)=1/3,tan(B/2)=2/3 .then tan(C/2) is equal to