Home
Class 10
MATHS
If the roots of ax^2+bx+c=0 are real and...

If the roots of `ax^2+bx+c=0` are real and equal then.......a)`b^2-4aclt0` b)`b^2-4ac=0` c)`b^2-4acgt0` d) Cannot say

A

`b^2-4aclt0`

B

`b^2-4ac=0`

C

`b^2-4acgt0`

D

cannot say

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Quadratic Equations

    CHETANA PUBLICATION|Exercise EXERCISE|98 Videos

  • PYTHAGORAS THEOREM

    CHETANA PUBLICATION|Exercise EXERCISE|39 Videos

  • QUADRILATERALS

    CHETANA PUBLICATION|Exercise EXAMPLE|20 Videos

Similar Questions

Explore conceptually related problems

The roots of x^2+kx+k=0 are real and equal. Find K. a)0 b)4 c)0 or 4 d)2

If the roots of a quadratic equation are real and equal, then Delta must be_______ a) 0 b)Less than 0 c)Greater than 0 d)1

alpha, beta are roots of quadratic equation ax^2+bx+c=0 . Then (alpha+beta) =______ a) -b/a b) b/a c) -c/a d) c/a

The equation of a line perpendicular to line ax+by+c=0 and passing through (a,b) is equal to ................ A) bx-ay=0 B) bx+ay-2ab=0 C) bx+ay=0 D) bx-ay+ 2ab=0

Determine the nature of the roots if b^2-4ac lt 0

alpha, beta are roots of quadratic equation such that alpha+beta=-4 and alpha beta=-1 , then required equation is……….a) x^2-4x-1=0 b) x^2+4x-1=0 c) x^2+4x+1=0 d) x^2-4x+1=0

If A + B = 45^@ , then (cot A-1) (cot B-1) is equal to......... A) 0 B) 2 C) 1 D) 4

If A-B=pi//4 , then (1+t a n A)(1-t a n B) is equal to.............. a. 2 b. 1 c. 0 d. 3

Write the following equations in the form ax^2+bx+c=0 . Also, find the value of a,b and c. (i) t^2-3t=4-2t .

CHETANA PUBLICATION-Quadratic Equations-EXERCISE
  1. If one root of quadratic equation kx^2-7x+12=0 is 3, then value of k i...

    Text Solution

    |

  2. If one root of quadratic equation is 1-sqrt3 then the other root is………...

    Text Solution

    |

  3. If the roots of ax^2+bx+c=0 are real and equal then.......a)b^2-4aclt0...

    Text Solution

    |

  4. The value of discriminant of the equation x^2+x+1=0 is…………..a)-4 b)-3 ...

    Text Solution

    |

  5. alpha, beta are roots of quadratic equation such that alpha+beta=-4 a...

    Text Solution

    |

  6. The standard form of quadratic equation x-5/x=3x-7 is……….a)2x^2-8x+7=0...

    Text Solution

    |

  7. What is the nature of roots of quadratic equation: 9x^2-12x+4=0? a)Rea...

    Text Solution

    |

  8. Three times the square of natural number is 363 is written in the math...

    Text Solution

    |

  9. Which of the following is not a quadratic equation? a)-5/3x^2=2x+9 b)(...

    Text Solution

    |

  10. For quadratic equation the product of the roots alpha and beta=…………..a...

    Text Solution

    |

  11. Write the formula: alpha^3+beta^3=…………….a)(alpha+beta)^3-3alphabeta(al...

    Text Solution

    |

  12. If one root of quadratic equation is 5+sqrt 5,then the product of root...

    Text Solution

    |

  13. If x=9 is one root of the quadratic equation x^2-11x+k=0, then find th...

    Text Solution

    |

  14. If one root of the quadratic equation 3y^2-ky+8=0 is 2/3, then find th...

    Text Solution

    |

  15. Determine whether the given values of x are the roots of given quadrat...

    Text Solution

    |

  16. Which of the following is a quadratic equation? a)x-5/x=3x-9 b)x+3=0 c...

    Text Solution

    |

  17. Which of the following is a quadratic equation? a)(x+3)(x-4)=0 b)x=9 c...

    Text Solution

    |

  18. Which of the following is a quadratic equation? a)5/x-3=x^2 b)x^2=9 c)...

    Text Solution

    |

  19. Which of the following is a quadratic equation? a)n^2-n+4=n^2 b)x^2=8...

    Text Solution

    |

  20. Which of the following is a quadratic equation? a)x-3=4x^2 b)x+9=0 c)...

    Text Solution

    |