In a triangle `PQR, ∠R=π/2`.If `tan(P/2) & tan(Q/2)`, are the roots of the equation `ax^2+bx+c=(a≠0)` then

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 any triangle PQR, angleR = pi/2 . If tan 'P/2 and tan 'Q/2 are the roots of the equation ax^(2) + bx + c=0 (a ne 0) , then show that, a+b=c.

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 tan alpha tan beta are the roots of the equation x^2 + px +q =0(p!=0) then

If both the roots of the equation ax^(2) + bx + c = 0 are zero, then

In a triangle PQR angle R=(pi)/(4), if tan (p/3) and tan ((Q)/(3)) are the roots of the equation ax ^2 + bx +c=0 then

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

If the ratio of the roots of the equation ax^(2)+bx+c=0 is m: n then

If the tan theta and sec theta are roots of the equation ax^(2)+bx+c=0, then

Suppose 1,2,3 are the roots of the equation x^4 + ax^2 + bx + c = 0 . Find the value of c.