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

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Level 2 (Straight Objective Type Questions))|21 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Solved Examples (Numerical Answer Type Questions)|18 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from previous Years. B - architecture entrance examination papers|16 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

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

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Solved Examples (Level 1 ( Single Correct Answer Type Questions)
  1. If a, b are two real number satisfying the relation 2a^(2) - 3a - 1 =...

    Text Solution

    |

  2. If alpha, beta are roots of x^(2)-2x-1=0, then value of 5alpha^(4)+12b...

    Text Solution

    |

  3. Suppose a, b, c are the lengths of three sides of a Delta ABC , a gt b...

    Text Solution

    |

  4. A root of the equation (a + b)(ax + b)(a - bx) = (a^2x - b^2)(a + bx) ...

    Text Solution

    |

  5. Q. Let p and q real number such that p!= 0,p^2!=q and p^2!=-q. if alph...

    Text Solution

    |

  6. Suppose a, b, in R . If the roots of x^(2) - ax + b = 0 are real and d...

    Text Solution

    |

  7. If a is the minimum root of the equation x^(2) - 3|x|- 2 = 0 , then va...

    Text Solution

    |

  8. Let f(x) = (x^(2) - 2x + 3)/( x^(2) - 2x - 8) , x in R - {-2, 4} The r...

    Text Solution

    |

  9. Suppose a, b, care three non-zero real numbers. The equation x^2+(a+b+...

    Text Solution

    |

  10. Suppose a,b in R. If the equation x^(2)-(2a+b)x+(2a^(2)+b^(2)-b+1//2)=...

    Text Solution

    |

  11. The equation e^(sinx)-e^(-sinx)-4=0 has (A) infinite number of real ro...

    Text Solution

    |

  12. If x^(2) - 3x + 2 is a factor of x^(4) - ax^(2) + b then the equatio...

    Text Solution

    |

  13. Let for a != a1 != 0 , f(x)=ax^2+bx+c ,g(x)=a1x^2+b1x+c1 and p(x) = f(...

    Text Solution

    |

  14. If a + b + c = 0 and a ne c then the roots of the equation (b + c - a)...

    Text Solution

    |

  15. if alpha&betaare the roots of the quadratic equation ax^2 + bx + c = 0...

    Text Solution

    |

  16. If 3p^(2)=5p+2 and 3q^(2)=5q+2 then the equation whose roots 3p-2p an...

    Text Solution

    |

  17. The number of real roots of (x+3)^4+(x+5)^4=16

    Text Solution

    |

  18. If a, b, c in R and the quadratic equation x^2 + (a + b) x + c = ...

    Text Solution

    |

  19. The value of 6+ log(3//2) (1/(3sqrt2)sqrt(4-1/(3sqrt2)sqrt(4-1/(3sq...

    Text Solution

    |

  20. The sum of the roots of the equation x + 1 - 2 log(2) (2^(x) + 3) + 2 ...

    Text Solution

    |