Home
Class 12
MATHS
If a ,b ,c are distinct positive numbers...

If `a ,b ,c` are distinct positive numbers, then the nature of roots of the equation `1//(x-a)+1//(x-b)+1//(x-c)=1//x` is all real and is distinct all real and at least two are distinct at least two real d. all non-real

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 a ,b ,c are distinct positive numbers, then the nature of roots of the equation 1//(x-a)+1//(x-b)+1//(x-c)=1//x is a. all real and is distinct b. all real and at least two are distinct c. at least two real d. all non-real

If a,b,c are distinct positive real numbers, then

If a,b,c are positive real numbers, then the number of real roots of the equation ax^2+b|x|+c is

If a,b,c,d are unequal positive numbes, then the roots of equation x/(x-a)+x/(x-b)+x/(x-c)+x+d=0 are necessarily (A) all real (B) all imaginary (C) two real and two imaginary roots (D) at least two real

The number of distinct real roots of the equation x=((5pi)/(2))^(cos x)

The number of distinct real roots of the equation sin pi x=x^(2)-x+(5)/(4) is

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4

If a ,b ,c ,d are four consecutive terms of an increasing A.P., then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 are a. non-real complex b. real and equal c. integers d. real and distinct

If a ,b ,c ,d are four consecutive terms of an increasing A.P., then the roots of the equation (x-a)(x-c)+2(x-b)(x-d)=0 are a. non-real complex b. real and equal c. integers d. real and distinct

If a ,b , a n dc are distinct positive real numbers such that a+b+c=1, then prove that ((1+a)(1+b)(1+c))/((1-a)(1-b)(1-c))> 8.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. OPQR is a square and M,N are the middle points of the sides of PQ nad ...

    Text Solution

    |

  2. int(cosx-sinx+1-x)/(e^(x)+sinx+x)dx=log(e)(f(x))+g(x)+C where C is the...

    Text Solution

    |

  3. If a ,b ,c are distinct positive numbers, then the nature of roots of ...

    Text Solution

    |

  4. In a group of 70 people, 37 like coffee, 52 like tea and each perso...

    Text Solution

    |

  5. The mean of a set of numbers is overline(X). If each number is divided...

    Text Solution

    |

  6. From any point on any directrix of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  7. Number of positive solution which satisfy the equation (log)2xdot(log)...

    Text Solution

    |

  8. Let f(x)=[b^(2)+(a-1)b+2]x-int(sin^(2)x+cos^(4)x)dx be an increasing f...

    Text Solution

    |

  9. Solve (x^2-7x+12)/(2x^2-4x+5)>0

    Text Solution

    |

  10. Product of real roots of the equation t^2x^2+|x|+9=0 a. is always +ve...

    Text Solution

    |

  11. If z = sec^(-1) (x + (1)/(x)) + sec^(-1) (y + (1)/(y)), where xy lt 0,...

    Text Solution

    |

  12. If n is an odd integer, then show that n^(2)-1 is divisible by 8.

    Text Solution

    |

  13. Find the largest positive term of the H.P.. Whose first two term are 2...

    Text Solution

    |

  14. If the tangent at any point P on the curve x^m y^n = a^(m+n), mn != 0...

    Text Solution

    |

  15. The value of cos^(-1)(cos(2tan^(-1)((sqrt(3)+1)/(sqrt(4-2sqrt(3))))))...

    Text Solution

    |

  16. int0^(3"pi"//2)sin[(2x)/pi]"dxw h e r e"[dot] denotes the greatest int...

    Text Solution

    |

  17. Which of the following when simplified reduces to unity ?

    Text Solution

    |

  18. A line L is perpendicular to the line 3x-4y-7=0 and touches the circle...

    Text Solution

    |

  19. Let f (x) and g (x) be two differentiable functions, defined as: f (...

    Text Solution

    |

  20. Determine the domain and range of the relation R. R={(x+1,x+5)|x in{...

    Text Solution

    |