If the equation `(p+iq)x^2 +(m+ni)x+r=0` has real root where p,q,m, n and r are real `(!=0) `then `pn^2+rq^2-mnq=` (A) 1 (B) 0 (C) -1 (D) none of these

If the equation x^(2)-x+ m^(2) = 0 has no real roots then m can satisfy

If the equation (m+6)x^(2)+(m+6)x+2=0 has real and distinct roots, then

If the roots of the equation, x^3 + px^2+qx-1 = 0 form an increasing G.P. where p and q are real,then (a) p +q = 0 (b) p in (-3, oo) (c) one of the roots is unity (d) one root is smaller than 1 and one root is greater than 1

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

If for xgt0f(x)=(a-x^n)^(1/n), g(x)=x^2+px+q,p,q epsilon R and equation g(x)-x=0 has imaginary roots, then number of real roots of equation g(g(x))-f(f(x))=0 is (A) 0 (B) 2 (C) 4 (D) none of these

if the roots of the equation z^(2) + ( p +iq) z + r + is =0 are real wher p,q,r,s, in ,R , then determine s^(2) + q^(2)r .

For a complex number z, the equation z^(2)+(p+iq)z+ r+" is "=0 has a real root (where p, q, r, s are non - zero real numbers and i^(2)-1 ), then

The equation x^(2)+2(m-1)x+(m+5)=0 has real and equal roots. Find the value of m.

For the equation |x^2|+|x|-6=0 , the sum of the real roots is (a) 1 (b) 0 (c) 2 (d) none of these

If a, b, c in R and the quadratic equation x^2 + (a + b) x + c = 0 has no real roots then