Let P and Q be two positive such that `p+q=2` and `p^4+q^4=272`.Then `p` and `q` are roots of the equation

Let A and B be two independent events with P(A) = p and P(B) = q. If p and q are the roots of the equation ax^(2) + bx + c = 0 , then the probability of the occurrence of at least one of the two events is

Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,2beta be the roots of the equation x^(2)-qx+r=0 , then the value of r is (1) (2)/(9)(p-q)(2q-p) (2) (2)/(9)(q-p)(2p-q) (3) (2)/(9)(q-2p)(2q-p) (4) (2)/(9)(2p-q)(2q-p)

If p and q are two propositions, then ~ ( p harr q) is

If p and q are positive, p^2 + q^2 = 16 , and p^2 - q^2 = 8 , then q =

Q. Let p and q real number such that p!= 0 , p^2!=q and p^2!=-q . if alpha and beta are non-zero complex number satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha/beta and beta/alpha as its roots is

Let p and q be real numbers such that p!=0,p^3!=q ,and p^3!=-qdot If alpha and beta are nonzero complex numbers satisfying alpha+beta=-p and alpha^3+beta^3=q , then a quadratic equation having alpha//beta and beta//alpha as its roots is A. (p^3+q)x^2-(p^3+2q)x+(p^3+q)=0 B. (p^3+q)x^2-(p^3-2q)x+(p^3+q)=0 C. (p^3+q)x^2-(5p^3-2q)x+(p^3-q)=0 D. (p^3+q)x^2-(5p^3+2q)x+(p^3+q)=0

Let P and Q be two sets such that n(P uu Q) = 70 ,n (P )= 45 and n(Q) = 38, Draw a Venn diagram and find : n(P-Q)

Let P and Q be two sets such that n(P uu Q) = 70 ,n (P )= 45 and n(Q) = 38, Draw a Venn diagram and find : n(P nn Q)

Let P and Q be two sets such that n(P uu Q) = 70 ,n (P )= 45 and n(Q) = 38, Draw a Venn diagram and find : n(Q- P)

Let p and q be two statements p: It is hot. q: It is summer. Then meaning of p∨q