Home
Class 11
MATHS
If the fraction (x^3 +(a-10)x^2-x+a-6)/(...

If the fraction `(x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)`reduces to a quotient of two functions then a equals

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

Range of the function f(x)=(x^2-3x+2)/(x^2+x-6) is

4(10/x)^2-6(10/x)^2+3(10/x)^2=1

Find the interval where the function f(x) 10 -x^3+6x^2-9x increases with x.

If f(x) = x^(3) - 6x^(2) + 9x + 3 be a decreasing function, then x lies in

The partial fractions of (6x^(4)+5x^(3)+x^(2)+5x+2)/(1+5x+6x^(2)) are

Find the partial fraction (2x+1)/((3x+2)(4x^(2)+5x+6)) .

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

Solve the inequation 2^(2x^(2)-10x+3)+6.2^(x^(2)-5x).3^(x^(2)-5x)ge3^(2x^(2)-10x+3)

If x != 3 and x != 6 , then (2x^2 - 72)/(x - 6) - (2x^2 - 18)/(x - 3) =

The range of the function f(x) = 3x^2+7x+10 is

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

    Text Solution

    |

  2. Find the range of f(x)=x^2-x-3.

    Text Solution

    |

  3. If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...

    Text Solution

    |

  4. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

    Text Solution

    |

  5. Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

    Text Solution

    |

  6. If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e...

    Text Solution

    |

  7. Find the value of 1+i^2+i^4+i^6++i^(2n)

    Text Solution

    |

  8. Let x ,y ,z in R such that x+y+z=6a nd x y+y z+z x=7. Then find the...

    Text Solution

    |

  9. Show that the polynomial x^(4p)+x^(4q+1)+x^(4r+2)+x^(4s+3) is divisibl...

    Text Solution

    |

  10. if ax^2+bx+c = 0 has imaginary roots and a+c lt b then prove that 4a+...

    Text Solution

    |

  11. Solve: i x^2-3x-2i=0,

    Text Solution

    |

  12. Let a ,b ,a n dc be distinct nonzero real numbers such that (1-a^3)/a...

    Text Solution

    |

  13. Express each one of the following in the standard form a+i bdot (5+...

    Text Solution

    |

  14. If the cubic 2x^3-9x^2+12 x+k=0 has two equal roots then minimum valu...

    Text Solution

    |

  15. If z=4+isqrt(7) , then find the value of z^2-4z^2-9z+91.

    Text Solution

    |

  16. If the quadratic equation4x^2-2(a+c-1)x+a c-b=0(a > b > c) (a...

    Text Solution

    |

  17. If (a+b)-i(3a+2b)=5+2i , then find aa n dbdot

    Text Solution

    |

  18. If the equation x^2=a x+b=0 has distinct real roots and x^2+a|x|+b=0 h...

    Text Solution

    |

  19. Given that x, y in R. Solve: x/(1+2i)+y/(3+2i)=(5+6i)/(8i-1)

    Text Solution

    |

  20. If the equation |x^2+b x+c|=k has four real roots, then A. b^2-4cgt...

    Text Solution

    |