In a `DeltaPQR, angleR = (pi)/(2)`. If `tan((P)/(2))` and `tan((Q)/(2))` are the roots of `ax^(2)+bx+c = 0, a ne 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 ?

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

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

If secalpha, tanalpha are roots of ax^2 + bx + c = 0 , then

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

If the roots of ax^(2) + bx + c = 0 are 2, (3)/(2) then (a+b+c)^(2)

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

A triangle PQR , /_R=90^@ and tan(P/2) and tan(Q/2) roots of the ax^2+bx+c=0 then prove that a+b=c