Home
Class 12
MATHS
Let pa n dq be real numbers such that p!...

Let `pa n dq` be real numbers such that `p!=0,p^3!=q ,a n d p^3!=-qdot` If `alphaa n dbeta` are nonzero complex numbers satisfying `alpha+beta=-pa n dalpha^2+beta^2=q` , then a quadratic equation having `alpha//betaa n dbeta//alpha` as its roots is `(p^3+q)x^2-(p^3+2q)x+(p^3+q)=0` `(p^3+q)x^2-(p^3-2q)x+(p^3+q)=0` `(p^3+q)x^2-(5p^3-2q)x+(p^3-q)=0` `(p^3+q)x^2-(5p^3+2q)x+(p^3+q)=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

Let pa n dq be real numbers such that p!=0,p^3!=q ,a n d p^3!=-qdot If alphaa n dbeta are nonzero complex numbers satisfying alpha+beta=-pa n dalpha^2+beta^2=q , then a quadratic equation having alpha//betaa n dbeta//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

Q.Let p and q real number such that p!=0p^(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

If (alpha+sqrt(beta)) and (alpha-sqrt(beta)) are the roots of the equation x^(2)+px+q=0 where alpha,beta,p and q are real,then the roots of the equation (p^(2)-4q)(p^(2)x^(2)+4px)-16q=0 are

If sec alpha and alpha are the roots of x^2-p x+q=0, then (a) p^2=q(q-2) (b) p^2=q(q+2) (c)p^2q^2=2q (d) none of these

The number of non-negative integers 'n' satisfying n^(2)=p+q and n^(3)=p^(2)+q^(2) where p and q are integers

In Q.No.7,HCF(a,b) is pq(b)p^(3)q^(3)(c)p^(3)q^(2) (d) p^(2)q^(2)