Home
Class 12
MATHS
Q. Let p and q real number such that p!=...

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

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`

Text Solution

Verified by Experts

The correct Answer is:
B
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

if p and q are non zero real numnbers and alpha^(3)+beta^(3)=-p alpha beta=q then a quadratic equation whose roots are (alpha^(2))/(beta),(beta^(2))/(alpha) is

Let a and b are non-zero real numbers and alpha^(3)+beta^(3)=-a,alpha beta=b then the quadratic equation whose roots are (alpha^(2))/(beta),(beta^(2))/(alpha) is

If roots alpha and beta of the equation x^(2)+px+q=0 are such that 3 alpha+4 beta=7 and 5 alpha-beta=4 then (p,q) is equal to

Two real numbers alpha and beta are such that alpha+beta=3 and | alpha-beta|=4 then alpha nad beta are the roots of the equation:

If sin alpha + sin beta =p , cos alpha + cos beta = q then find the value of cos 2alpha + cos 2beta in terms of p and q.

If alpha,beta are the roots of x^(2)-px+q=0 then the equation whose roots are alpha beta+alpha+beta,alpha beta-alpha-beta