It the roots of the equation  x3 + px2 + qx − 1  =  0   form an increasing G.P. where p and q are real, then

It the roots of the equation  x3 + px2 + qx − 1  =  0   form an increasing G.P. where p and q are real, then

If p and q are integers and lie between –5 and –1, both inclusive, then the number of equations of the form x2 – px – q = 0 having real and equal roots is:

The roots of the given equation (p−q)x2+(q−r)x+(r−p)=0 are :p−qr−p,1q−rp−q,1r−pp−q,1None of these

Let equation x3 – 9x2 + 24x + λ = 0 has three real and distinct roots a, b, c. If λ ∈ (–20, –18), then the value of ([a] + [b] + [c]) will be

Let integer ‘p’ be one of the roots of ax2 + 4x + 6 = 0 and integer ‘q’ be one of the roots of 2x2 – 7x + 3 = 0. If p = q2, then what is the value of ‘a’?