Home
Class 10
MATHS
If ax^(2)+bx+c=0 has equal roots, find t...

If `ax^(2)+bx+c=0` has equal roots, find the value of c.

A

`(-b)/(2a)`

B

`(b^2)/(4a)`

C

`(-b^2)/(4a)`

D

`(b^2)/(4a)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Very Short Answer Type Question |33 Videos

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Short Answer Type Question |27 Videos

  • QUADRATIC EQUATIONS

    OSWAL PUBLICATION|Exercise Case-Based MCQs|15 Videos

  • PROBABILITY

    OSWAL PUBLICATION|Exercise Self Assessment|66 Videos

  • REAL NUMBERS

    OSWAL PUBLICATION|Exercise Self-Assessment |11 Videos

Similar Questions

Explore conceptually related problems

If equation ax^(2)+bx+c=0 has equal roots, then find 'c' in terms of 'a' and 'b'.

If c gt0 and 4a+clt2b then ax^(2)-bx+c=0 has a root in the interval

The quadratic equation ax^(2)+5bx+2c=0 has equal, roots if

If the roots of 2x^(2)+7x+5=0 are reciprocals roots of ax^(2)+bx+c=0 then find the value of a-c

If ax^(2)+bx+c = 0 has no real roots and a, b, c in R such that a + c gt 0 , then

If p and q are the roots of ax^(2)-bx+c=0,a!=0, then find the value of p+q.

Given that ax^(2)+bx+c=0 has no real roots and a+b+c 0 d.c=0

OSWAL PUBLICATION-QUADRATIC EQUATIONS-Multiple Choice Question
  1. If alpha and beta are the zeros of x^(2) + 5x + 8 then the value of (...

    Text Solution

    |

  2. The discriminant of the quadratic equation 3x^(2) - 4x - 2 = 0 is

    Text Solution

    |

  3. If ax^(2)+bx+c=0 has equal roots, find the value of c.

    Text Solution

    |

  4. If one root of the equation 2x^2 + 3x + c = 0 is 0.5, then what is the...

    Text Solution

    |

  5. The equation whose roots are twice the roots of the equationx ^(2) - 2...

    Text Solution

    |

  6. The difference in the roots of the equation 2x^2 - 11x + 5 = 0 is :

    Text Solution

    |

  7. If alpha and beta are the roots of the equation x^(2) + px + q =0, t...

    Text Solution

    |

  8. In the quadratic equation x^2 + ax + b=0, a and b can take any value f...

    Text Solution

    |

  9. For which value of k does the pair of equation x^2 - y^2 = 0 and (x – ...

    Text Solution

    |

  10. If the root of the equation Ax^2 - Bx + C = 0 are -1 and 1, then which...

    Text Solution

    |

  11. If the roots of the equation (a^2 - bc)x^2 + 2(b^2 - ac)x + (c^2 - ab)...

    Text Solution

    |

  12. If one root of (a ^(2) – 5a + 3) x ^(2) + ( 3a -1) x + 2 =0 is tw...

    Text Solution

    |

  13. If 3 is a root of the equation kx^2 - kx - 3 = 0, then the value of k ...

    Text Solution

    |

  14. If the zeroes of the quadratic polynomial x^(2) +(a+1)x+b are 2 and -3...

    Text Solution

    |

  15. Solve sqrt(2x+9)+x=13.

    Text Solution

    |

  16. The nature of roots of the equation 2x^2 + sqrt(5x) - 1= 0 is ...........

    Text Solution

    |

  17. Solve the equation 2x^2-5x+3=0 by the method of completing square.

    Text Solution

    |

  18. Which of the following is not a quadratic equation?

    Text Solution

    |

  19. Which of the following equations has 2 as a root?

    Text Solution

    |

  20. If 1/2 is a root of the equation x^2 + kr -5/4=0, then the value of k...

    Text Solution

    |