Home
Class 11
MATHS
Which one of the following is one of the...

Which one of the following is one of the roots of the equation `(b-c) x^2 + (c-a)x+(a-b)=0` ?

A

`((c-a))/((b-c))`

B

`((a-b))/((b-c))`

C

`((b-c))/((a-b))`

D

`((c-a))/((a-b))`.

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • LINEAR INEQUATIONS

    MODERN PUBLICATION|Exercise EXERCISE|289 Videos

  • LIMITS AND DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|334 Videos

  • MATHEMATICAL INDUCTION

    MODERN PUBLICATION|Exercise EXERCISE|85 Videos

Similar Questions

Explore conceptually related problems

If a, b,c be the sides of a triangle ABC and if roots of equation a(b-c)x^2+b(c-a)x+c(a-b)=90 are equal then sin^2 A/2, sin^2 B/2, sin^2 C/2 are in

If a+b+c=0 and a,b,c are rational. Prove that the roots of the equation (b+c-a)x^(2)+(c+a-b)x+(a+b-c)=0 are rational.

If a, b, c are real, then both the roots of the equation : (x- b) (x-c) + (x-c) (x-a) + (x-a)(x-b) are always :

If the roots of the equation (b-c)x^2+(c-a)x+(a-b)=0 are equal then a,b,c will be in

If a, b, c are real and a!=b , then the roots ofthe equation, 2(a-b)x^2-11(a + b + c) x-3(a-b) = 0 are :

Find the roots of the following quadratic equations :- x^2-2ax+(a^2-b^2)=0 .

The roots of the quadratic equation (a + b-2c)x^2+ (2a-b-c) x + (a-2b + c) = 0 are

If alpha,beta are the roots of the equation a x^2+b x+c=0, then find the roots of the equation a x^2-b x(x-1)+c(x-1)^2=0 in term of alphaa n dbetadot

Find the roots of the following quadratic equations :- 9x^2-6a^2x+(a^4-b^4)=0 .

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

MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. If the equation : (a +1) x^2 -(a+2)x+(a+3)=0 has roots equal in magni...

    Text Solution

    |

  2. If alpha and beta are the roots of the quadratic equation x^2+4x+3=0,...

    Text Solution

    |

  3. Which one of the following is one of the roots of the equation (b-c) x...

    Text Solution

    |

  4. What is the value of x satisfying the equation : 16((a-x)/(a+x))^3= (a...

    Text Solution

    |

  5. If alpha, beta are the roots of the equation : 2x^2-2(1+n^2)x+(1+n^2+n...

    Text Solution

    |

  6. The roots of Ax^2 + Bx + C =0 are r and s. For the roots of x^2+ px + ...

    Text Solution

    |

  7. What is the value of ((-1+i sqrt3)/2)^900+ ((-1-i sqrt3)/2)^301 ?

    Text Solution

    |

  8. If 2^x+3^y =17 and 2^(x+2)-3^(y+1)=5, then what is the value of x ?

    Text Solution

    |

  9. What is ((sqrt3+i))/((1+sqrt3 i)) equal to ?

    Text Solution

    |

  10. If z1, z2, z3 are complex numbers such that |z1|= |z2|= |z3| =|1/z1+1/...

    Text Solution

    |

  11. For positive integers n1,n2, the value of the expression : (1+i)^(n1)+...

    Text Solution

    |

  12. If z1, z2 are two complex numbers satisfying the equation |(z1 +z2)/(z...

    Text Solution

    |

  13. The equation z bar z+a bar z+bar a z+b=0, b in R represents a circle i...

    Text Solution

    |

  14. If cos alpha+ cos beta + cos gamma = sin alpha+ sin beta +sin gamma= 0...

    Text Solution

    |

  15. If x satisfies |x-1|+|x-2|+|x-3| ge6, then :

    Text Solution

    |

  16. If 5le x le8, then :

    Text Solution

    |

  17. If (x^2-5x+6)/(x^2-x+1) is negitive then :

    Text Solution

    |

  18. Let z1 and z2 be nth roots of unity, which subtend a right angle at th...

    Text Solution

    |

  19. The complex numbers z1, z2 and z3 satisfying (z1-z3)/(z2- z3)= (1-i sq...

    Text Solution

    |

  20. If |z|=1 and w=(z-1)/(z+1) (where z!=-1), then R e(w) is

    Text Solution

    |