Home
Class 12
MATHS
If alpha,beta are the roots of the eq...

If `alpha,beta` are the roots of the equation, `x^2-2x+3=0,` find the equation whose roots are `alpha^3-3alpha^2+5alpha-1a n dbeta^3-beta^2+beta+5.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equation whose roots are alpha^3-3alpha^2+5alpha-2 and beta^3-beta^2+beta=5

If alpha,beta are the roots of the equation x^2-2x+3=0 obtain the equation whose roots are alpha^3-3alpha^2+5alpha-2 and beta^3-beta^2+beta+5

If alpha,beta are the roots of lthe equation 2x^2-3x-6=0, find the equation whose roots are alpha^2+2a n dbeta^2+2.

If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the equation whose roots are alpha^2+2 and beta^2+2.

If alpha and beta are the roots of the equation 2x^(2)+3x+2=0 , find the equation whose roots are alpha+1 and beta+1 .

If alpha,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 , then find the equation whose roots are (alpha+beta)^2a n d(alpha-beta)^2

If alpha,beta are the roots of the equation x^(2)-3x+4=0 , then the equation whose roots are (alpha-2)/(alpha+2),(beta-2)/(beta+2) is

If alpha, beta are the roots of the equation 2x^(2) - 3x - 6 = 0 , find the equation whose roots are alpha^(2) + 2 and beta^(2) + 2 .

If alpha, beta are the roots of the equation x^(2)+7x+12=0 , then the equation whose roots are (alpha+beta)^(2) and (alpha-beta)^(2) is

If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 then find the equation whose roots are (alpha + beta)^2 and (alpha-beta)^2

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. An ordinary cube has four blank faces, one face marked 2 and one face ...

    Text Solution

    |

  2. If P(A)=0. 59 ,P(B)=0. 30P(AnnB)=0. 21 , then P(A^(prime)nnB^(prime)...

    Text Solution

    |

  3. If alpha,beta are the roots of the equation, x^2-2x+3=0, find the e...

    Text Solution

    |

  4. The value of x satisfying the equation (6x+2a+3b+c)/(6x+2a-3b-c)=(2x+6...

    Text Solution

    |

  5. intsqrt(x^(2)+a^(2))dx

    Text Solution

    |

  6. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  7. Different words are formed by arranging the letters of the word 'SUCCE...

    Text Solution

    |

  8. Which of the following is correct? a.(log)2 0.9 is negative b. (log)...

    Text Solution

    |

  9. Evaluate the following Integrals. int log ( sqrt(1-x)+ sqrt(1+x))dx

    Text Solution

    |

  10. If x, y are rational numbers such that (x+y)+(x-2y)sqrt(2)=2x-y+(x-y-1...

    Text Solution

    |

  11. If the difference of the roots of the question ,x^(2)+px+q=0"be unity,...

    Text Solution

    |

  12. The multiplication of a rational number 'x' and an irrational number '...

    Text Solution

    |

  13. If ' a ' is a natural number and ' b ' a digit such that (3a+2007)^2...

    Text Solution

    |

  14. If the circumcentre of triangle ABC is (alpha,beta,gamma) where A, B, ...

    Text Solution

    |

  15. If n^(2)-11n+24=0 is satisfied by n(1)&n(2) where n(2)gtn(1) then

    Text Solution

    |

  16. Find the sum of the series 1/(3^2+1)+1/(4^2+2)+1/(5^2+3)+1/(6^2+4)+oo

    Text Solution

    |

  17. If n^(2)+2n -8 is a prime number where n in N then n is

    Text Solution

    |

  18. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

    Text Solution

    |

  19. The quadratic equation x^(2)-9x+3=0 has roots alpha and beta.If x^(2)-...

    Text Solution

    |

  20. Number of ordered pairs (a,b) for which sin^(-1)(1+b+b^2+..oo)+cos^(-1...

    Text Solution

    |