In a `Delta PQR, /_R=(pi)/(2)` .if `tan(P/2)` and `tan(Q/2)` are the roots of the equation `ax^(2)+bx+c=0` ,then relation between `a, b and c`

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 a triangle PQR, angleR = pi //2 . If tan (P/2) and tan (Q/2) are the roots of the equations ax^(2) + bx + c = 0 where a ne 0 , then

2x^(2) + 3x - alpha - 0 " has roots "-2 and beta " while the equation "x^(2) - 3mx + 2m^(2) = 0 " has both roots positive, where " alpha gt 0 and beta gt 0. Delta PQR, angleR=pi/2. " If than "(P/2) and tan (Q/2) " are the roots of the equation " ax^(2) + bx + c = 0 , then which one of the following is correct ?

If a,b,c are in A.P. then the roots of the equation ax^(2)+2bx+c=0 are

If a,b,c are in G.P.then the roots of the equation ax^(2)+bx+c=0 are in ratio