Home
Class 12
MATHS
The roots of the equation ax^2+bx+c=0 ar...

The roots of the equation `ax^2+bx+c=0` are reciprocal to one another when-

A

a=c

B

a=b

C

b=c

D

a=0

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Very Short Answer type Question)|30 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise EXERCISE 5A(Short answer type question)|48 Videos

  • QUADRATIC EQUATIONS

    CHHAYA PUBLICATION|Exercise Sample Question for Competitive Exams (Assertion- Reason Type)|2 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

  • QUESTION PAPER -2018

    CHHAYA PUBLICATION|Exercise WBJEE|45 Videos

Similar Questions

Explore conceptually related problems

If the roots of the equation 5x^2-7x-k=0 are reciprocal to one another, then which of the following is the value of k?

Find the condition so that the roots of the equation lx^2+mx+n=0 are reciprocal to one another

If the roots of the equation 5x^2 - 7x - k = 0 are reciprocal to one another, then which of the following is the value of k?

If the roots of the equation ax^2+bx+c=0 (a!=0) are reciprocal to each other then a) a=b b) a=c c) b=c d) b^2=4ac

If the roots of the equation ax^(2)+bx+c=0(ane0) be reciprocal to each other, then c= _______.

The roots of the equation ax^2+bx+c=0 are equal when-

For what value of m the roots of the equation x^2-2(5+2m)x+3(7+10m)=0 are reciprocal to one another

If the roots of the equation ax^(2)+bx+c=0(ane0) be negatively reciprocal to each other, then a+c = _______ .

If the roots of the equation ax^2+bx+c=0(a!=0) be equal then

If the roots of the equation ax^2+bx+c=0 are two consecutive integers then prove that, b^2-a^2=4ac .

CHHAYA PUBLICATION-QUADRATIC EQUATIONS-EXERCISE 5A(Multiple Choice type question)
  1. One root of the equation ax^2+bx+c=0(ane0) is zero when-

    Text Solution

    |

  2. The roots of the equation ax^2+bx+c=0 are reciprocal to one another wh...

    Text Solution

    |

  3. IF the signs of a and c are opposite to that of b then both roots of t...

    Text Solution

    |

  4. The roots of the equation ax^2+bx+c=0(a ne 0) are equal in magnitude a...

    Text Solution

    |

  5. IF b=c=0 then both roots of the equation ax^2+bx+c=0(ane0) are-

    Text Solution

    |

  6. The maximum number of distinct roots in a quadratic equation is -

    Text Solution

    |

  7. IF a=0,bne0 and c is real and rational then one root of the equation a...

    Text Solution

    |

  8. IF a=0 and b=0 then both roots of the equation ax^2+bx+c=0 are-

    Text Solution

    |

  9. The roots of the equation ax^2+bx+c=0 are equal when-

    Text Solution

    |

  10. IF a,b,c are rational numbers and b^2-4ac is positive but not a perfec...

    Text Solution

    |

  11. The minimum value of 9x^2-6x+1 is-

    Text Solution

    |

  12. The maximum value of 4x-x^2-2 is-

    Text Solution

    |

  13. If 4 is a root of the equation x^2+ax-12=0 , then which of the followi...

    Text Solution

    |

  14. State which of the following is the sum of the roots of the equation 3...

    Text Solution

    |

  15. State which of the following is the product of the roots of the equati...

    Text Solution

    |

  16. State which of the following equation has the roots 2 and (-3)?

    Text Solution

    |

  17. If the roots of the equation 5x^2-7x-k=0 are reciprocal to one another...

    Text Solution

    |

  18. If the sum of the roots of the equation 2x^2+ax+6=0 be 5, then which o...

    Text Solution

    |

  19. If the product of the roots of the equation 2x^2-7x+b=0 be (-3), then ...

    Text Solution

    |

  20. The roots of the equation 3x^2-5x+p=0are equal, state which of the fo...

    Text Solution

    |