If `P(x)=a x^2+b x+c&Q(x)=-a x^2+dx+c ,a c!=0,` then the equation `P(x)*Q(x)=0` has (a)Exactly two real roots (b)Atleast two real roots (c)Exactly four real roots (d) No real roots

If (x)=ax^(2)+bx+c&Q(x)=-ax^(2)+dx+c,ac!=0P(x)=ax^(2)+bx+c&Q(x)=-ax^(2)+dx+c,ac!=0 then the equation P(x)*Q(x)=0 has (a) Exactly two real roots (b) Atleast two real roots (c)Exactly four real roots (d) No real roots

If (x)=ax^(2)+bx+c amd Q(x)=-ax^(2)+dx+c,ac!=0P(x)=ax^(2)+bx+camdQ(x)=-ax^(2)+dx+c,ac!=0 then the equation P(x)*Q(x)=0 has a.exactly two real roots b.Atleast two real roots c.exactly four real roots d.no real roots

P(X) = ax^2+bx+c and Q(x)=-ax^2+dx+c=0 where ac!=0 then the equation P(x).Q(x)=0 has a) four real roots b) exactly 2 real roots c) either 2 or 4 roots d) at most 2 real roots

The quadratic equation 2x^(2)-sqrt5x+1=0 has (a) two distinct real roots (b) two equal real roots (c) no real roots (d) more than 2 real roots

The equation e^(sin x)-e^(-sin x)-4=0 has (A) infinite number of real roots (B) no real roots (C) exactly one real root (D) exactly four real roots

(x^(2)+1)^(2)-x^(2)=0 has (i) four real roots (ii) two real roots (iii) no real roots (iv) one real root

Find the values of p for which the equation x^(4)-14x^(2)+24x-3-p=0 has (a) Two distinct negative real roots (b) Two real roots of opposite sign (c) Four distinct real roots (d) No real roots

If a,b,c,d in R, then the equation (x^(2)+ax-3b)(x^(2)-cx+b)(x^(2)-dx+2b)=0 has a.6 real roots b.at least 2 real roots c.4 real roots d.none of these

If f(x)=x has non real roots, then the equation f(f(x))=x (A) has all real and unequal roots (B) has some real and non real roots (C) has all real and equal roots (D) has all non real roots

If the equation |x^(2)+bx+c|=k has four real roots,then