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)/(2a)`

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 2)|14 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise EXERCISE (MATCH THE FOLLOWING)|1 Videos
  • QUADRATIC EQUATIONS

    MTG IIT JEE FOUNDATION|Exercise NCERT SECTION (EXERCISE 4.4)|8 Videos
  • PROBABILITY

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|26 Videos
  • REAL NUMBERS

    MTG IIT JEE FOUNDATION|Exercise Olympiad/HOTS Corner|15 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

MTG IIT JEE FOUNDATION-QUADRATIC EQUATIONS-EXERCISE (MULTIPLE CHOICE QUESTION) (LEVEL - 1)
  1. The roots of the equation x^(2) -2 sqrt(2) x + 1 = 0 are

    Text Solution

    |

  2. If the equation x^(2) + 4x - k = 0 has real and distinct roots, then

    Text Solution

    |

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

    Text Solution

    |

  4. If the quadratic equation mx^2+2x+m=0 has two equal roots, then the v...

    Text Solution

    |

  5. The value of sqrt(6+sqrt(6+sqrt(6+..oo))) is

    Text Solution

    |

  6. If the equation x^(2)- bx+ 1 = 0 does not possess real roots, then whi...

    Text Solution

    |

  7. If x = 1 is a common root of the equations ax^(2) + ax + 3 = 0 and x^(...

    Text Solution

    |

  8. If a and b can take values 1,\ 2,\ 3,\ 4 . Then the number of th...

    Text Solution

    |

  9. The roots of the equations 2x - (3)/(x) = 1 are

    Text Solution

    |

  10. For what values of k, the equation 2x^(2) +kx + 8 = 0 has real and eq...

    Text Solution

    |

  11. The equation k^(2) x^(2) + kx + 1 = 0 has

    Text Solution

    |

  12. If alpha and beta are the zeros of the quadratic polynomial f(x)=x^(2)...

    Text Solution

    |

  13. For what value of k, the equation x^(2) + 4kx + 4 = 0 has equal roots...

    Text Solution

    |

  14. If alpha , beta roots of the equations x^(2) - 5x + 6 = 0, find the va...

    Text Solution

    |

  15. An integer when added to its square equals 182. One of the integer is

    Text Solution

    |

  16. The quadratic equation ax^(2)+bx+c=0 has real roots if:

    Text Solution

    |

  17. Study the statement carefully. Statement I : Both the roots of the e...

    Text Solution

    |

  18. Two numbers differ by 3 and their product is 504. Find the number.

    Text Solution

    |

  19. Find the value of k for the equation 2x^(2) + kx + 2 = 0, if it has eq...

    Text Solution

    |

  20. If -5 is a root of the quadratic equation 2x^2+p x-15=0 and the quadra...

    Text Solution

    |