Home
Class 11
MATHS
If alpha,beta are the roots of the equa...

If `alpha,beta` are the roots of the equation `2x^2-35x+2=0` , the find the value of `(2alpha-35)^3(2beta-35)^3dot`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos

  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 Videos

Similar Questions

Explore conceptually related problems

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

If alphaandbeta be the roots of the equation 5x^(2)+2x-3=0 , then find the values of ((1)/(alpha)+(1)/(beta))

If alpha,beta,gamma are the roots of the equation x^3+x+1=0 , then the value of alpha^3+beta^3+gamma^3 is.

IF alpha and beta are the roots of the equation x(x-3)=4, find the value of alpha^2+beta^2 .

If alphaandbeta be the roots of the equation 3x^(2)+8x+2=0 , then the value of ((1)/(alpha)+(1)/(beta))

If alpha,beta,gamma are the roots of the equation x^3+p x^2+q x+r=0, then find he value of (alpha-1/(betagamma))(beta-1/(gammaalpha))(gamma-1/(alphabeta)) .

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of alpha^2+beta^2

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

IF alpha and beta be the roots of the equation ax^2+bx+c=0 , find the values of 1/alpha^3+1/beta^3

If alpha,beta are the roots of the quadratic equation x^2+px+q=0 , then the values of alpha^3+beta^3 and alpha^4+alpha^2beta^2+beta^4 are respectively

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  2. z1a n dz2 lie on a circle with center at the origin. The point of inte...

    Text Solution

    |

  3. If alpha,beta are the roots of the equation 2x^2-35x+2=0 , the find ...

    Text Solution

    |

  4. If one root of the equation z^2-a z+a-1= 0 is (1+i), where a i...

    Text Solution

    |

  5. If |z1|=|z2|=|z3|=1 and z1+z2+z3=0 then the area of the triangle whose...

    Text Solution

    |

  6. Simplify: (sqrt(5+12 i)+sqrt(5-12 i))/(sqrt(5+12 i)-sqrt(5-12 i))

    Text Solution

    |

  7. Find a quadratic equation whose product of roots x1 and x2 is equa...

    Text Solution

    |

  8. If sqrt(5-12 i)+sqrt(-5-12 i)=z , then principal value of a rgz can be

    Text Solution

    |

  9. If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,y=pdot

    Text Solution

    |

  10. If a and b(!=0) are the roots of the equation x^2+a x+b=0, then find...

    Text Solution

    |

  11. Let A ,B ,C ,D be four concyclic points in order in which A D : A B=C ...

    Text Solution

    |

  12. Convert (1+3i)/(1-2i) into the polar form.

    Text Solution

    |

  13. If the sum of the roots of the equation (a+1)x^2+(2a+3)x+(3a+4)=0 is ...

    Text Solution

    |

  14. Let the altitudes from the vertices A, B and C of the triangle ABC me...

    Text Solution

    |

  15. For |z-1|=1, show that tan{[a r g(z-1)]/2}-((2i)/z)=-i

    Text Solution

    |

  16. The quadratic polynomial p(x) has the following properties:p(x)geq0 fo...

    Text Solution

    |

  17. If z1=9y^2-4-10ix,z2=8y^2-20i where z1=barz2 then z=x+iy is equal to

    Text Solution

    |

  18. If a rg(z1)=170^0 and arg(z2)=70^0 , then find the principal argument...

    Text Solution

    |

  19. z1, z2 and z3 are the vertices of an isosceles triangle in anticlockwi...

    Text Solution

    |

  20. function f , x ->R , f(x) = (3x^2+mx+n)/(x^2+1) , if the range of func...

    Text Solution

    |