Home
Class 10
MATHS
If one root of the equation is the recip...

If one root of the equation is the reciprocal of the other root in `ax^(2) + bx + c = 0` then ……… .

A

a=c

B

a=b

C

b=c

D

c=b

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • ALGEBRA

    FULL MARKS|Exercise Unit Exercise|20 Videos

  • COORDINATE GEOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (Answer the following questions)|20 Videos

Similar Questions

Explore conceptually related problems

If one of the roots of the equation x^(2)+bx+3=0 is thrice the other then, b=

If one root of quadratic equations is 1-sqrt(3) then the other root is …………..

If one root of the equation 2x^(2)-ax+64=0 is twice that of the other find the value of a.

Form the equations whose roots are reciprocals of the roots of cubic equation. x^3+ax^2+bx+c=0

The equation x^(2)+bx+c=0 has distinct roots. If 2 is subtracted from each root the result are the reciprocal of the original roots, then b^(2)+c^(2) is

If one root of the equation 2x^(2) - ax + 64 = 0 is twice that of the other then find the value of a.

If -i + 2 is one root of the equation ax^2 - bx + c = 0 , then the other root is …………

If the roots of the equation x^(2)+px+c=0 are 2,-2 and the roots of the equation x^(2)+bx+q=0 are -1,-2, then the roots of the equation x^(2)+bx+c=0 are

Let a, b, c be real numbers with a = 0 and let alpha,beta be the roots of the equation ax^2 + bx + C = 0 . Express the roots of a^3x^2 + abcx + c^3 = 0 in terms of alpha,beta

FULL MARKS-ALGEBRA-Additional Questions Solved
  1. If alpha and beta are thr roots of the equation ax^(2) + bx + c = 0 t...

    Text Solution

    |

  2. The roots of the equation x^(2) - 8x + 12 = 0 are ………… .

    Text Solution

    |

  3. If one root of the equation is the reciprocal of the other root in ax^...

    Text Solution

    |

  4. If alpha and beta are roots of the equation x^(2) + 2x + 8 = 0 the the...

    Text Solution

    |

  5. If [(x+y,x-y),(7,6)] = [(10,2),(7,z)] then x, y, z are ………… .

    Text Solution

    |

  6. If [(-1,-2,4)] [(2),(a),(-3)]= -10 then the value of "a" is …………. .

    Text Solution

    |

  7. The matrix A given by (a(ij))(2 xx 2) if a(ij) = i - j is ………. .

    Text Solution

    |

  8. If the order of matrix A is 3times4 and the order of B is 4times3 then...

    Text Solution

    |

  9. If [(4,3,2)] [(1),(-2),(x)] =6 then "x" is ………. .

    Text Solution

    |

  10. Solve x + y = 7 , y + z = 4 , z + x = 1

    Text Solution

    |

  11. Find the HCF of 25x^(4)y^(7) , 35x^(3)y^(8) , 45x^(3)y^(3)

    Text Solution

    |

  12. Find the HCF of x^(3) + x^(2) + x + 1 and x^(4) - 1.

    Text Solution

    |

  13. Find the LCM of x^(3) + y^(3) , x^(3) - y^(3),x^4+x^2y^2+y^4

    Text Solution

    |

  14. Find the L.C.M of x^(3) + x^(2) - x - 1 and x^(3) + 3x^(2) - x - 3

    Text Solution

    |

  15. For What value of k, the G.C.D of [x^(2) + x - (2k + 2)] and 2x^(2) + ...

    Text Solution

    |

  16. Simplify (x^(2) + x-6)/(x^(2) + 4x +3)

    Text Solution

    |

  17. Multiply (a^(3) b^(2))/(a-1) " by " (a^(2)-1)/(a^(2)b^(3))

    Text Solution

    |

  18. If P = (x^(2) -36)/(x^(2) -49) and Q= (x+6)/(x+7) find the value of (P...

    Text Solution

    |

  19. Simplify (x^2)/(x+y) -(y^2)/(y+x)

    Text Solution

    |

  20. Find the square root (x + 11)^(2) - 44x

    Text Solution

    |