Home
Class 12
MATHS
For the equation 40/[x-1]-160/[x-4]-200/...

For the equation `40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x` (A) Number of real solutions of above equation is 3 (B) If E denotes the product of non-zero real or complex roots of the equation, then sum of divisors of E is 2904 (C) If S denotes the set of all real roots of the equation then, sum of elements of S taken two at a time is 81 (D) If `alpha_1,alpha_2 in R` be two roots of the equation such that `log_[alpha_2](2alpha_1)` is defined then it must be 1.

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

The number of real solutions of the equation e^x=x is

Number of real roots of the equation e^(x-1)-x=0 is

Write the sum of real roots of the equation x^2+|x|-6=0

The number of real solution of the equation x^(2)=1-|x-5| is:

Number of real solution(s) of the equation |x-3|^(3x^2-10x+3)=1 is :

The number of real solutions of the equation x^3+1=2\ root(3)(2x-1), is

The number of real roots of the equation 1+3^(x//2)=2^(x) , is

The product of real roots of the equation |x|^(6/5)-26|x|^(3/5)-27=0 is

The number of real root of the equation e^(x-1)+x-2=0 , is

Number of real solutions of the equation x^2+(x/(x-1))^2=8 are a. 3 b. 4 c. 6 d. 0

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If the value of x satisfying the equation sin^(-1)sqrt(1-x^2)=tan^...

    Text Solution

    |

  2. If the system of linear equations {:(x+2ay+az=0),(x+3by+bz=0),(x+4cy...

    Text Solution

    |

  3. For the equation 40/[x-1]-160/[x-4]-200/[x-5]+320/[x-8]=6x^2-27x (A)...

    Text Solution

    |

  4. Two cards are drawn one after another from a pack of 52 ordinary cards...

    Text Solution

    |

  5. If G is the centroid and O is the circumcentre of the triangle with ve...

    Text Solution

    |

  6. Given f(x) = 1/( (x^2 + 2x+1)^(1/3) + (x^2 -1)^(1/3) + (x^2 - 2x + 1)...

    Text Solution

    |

  7. The minimum value of the function f(x)=x^(10)+x^2+1/(x^(12))+1/((1+s...

    Text Solution

    |

  8. Sum of the solution of the equation [x^2]-2x+1=0 is (where [.] denot...

    Text Solution

    |

  9. ABC has integral side lengths. Internal angle bisector of angle B m...

    Text Solution

    |

  10. Find the underset(k=1)overset(oo)sumunderset(n=1)overset(oo)sumk/(2^(n...

    Text Solution

    |

  11. 2n(A-B)=n(A-B) and 5n(AnnB)=n(A)+3n(B) If n(AuuB)lt=10 , then the va...

    Text Solution

    |

  12. If both roots of quadratic equation x^2+(sintheta+costheta)x+3/8=0 are...

    Text Solution

    |

  13. If the inequality k x^2-2x+kgeq0 holds good for atleast one real ' x...

    Text Solution

    |

  14. A circle passes through the points A(1,0) and B(5,0), and touches the ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Consider a family of circle passing thorugh two fixed points A(3,7) an...

    Text Solution

    |

  17. Equation of chord AB of circle x^(2)+y^(2)=2 passing through P(2,2) su...

    Text Solution

    |

  18. In a triangle A B C ,A-=(alpha,beta)B-=(2,3),a n dC-=(1,3)dot Point A ...

    Text Solution

    |

  19. Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such...

    Text Solution

    |

  20. Let f(x) be a 4 degree polynomial satisfying f(r)=(1)/(r) for r=1,2,3,...

    Text Solution

    |