Home
Class 12
MATHS
If c gt0 and 4a+clt2b then ax^(2)-bc+c=0...

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

A

(2,4)

B

(0,1)

C

(0,2)

D

(-2,0)

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 4 (True And False)|5 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 4 (Fill In The Blanks)|4 Videos

  • THEORY OF QUADRATIC EQUATIONS

    ML KHANNA|Exercise Problem Set - 3 (Fill In The Blanks)|2 Videos

  • THE PARABOLA

    ML KHANNA|Exercise MISCELLANEOUS EXERCISE (Assertion/ Reason)|1 Videos

  • TRIGONOMETRICAL EQUATIONS

    ML KHANNA|Exercise SELF ASSESSMENT TEST |27 Videos

Similar Questions

Explore conceptually related problems

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

If c>0 and 4a+c<2b then ax^(2)-bx+c=0 has a root win which one of the following intervals a (0,2) b) (2,3) c) (3,4) d) (-2,0)

If a+b+c=0 , then, the equation 3ax^(2)+2bx+c=0 has , in the interval (0,1).

If c>0 and the equation 3ax^(2)+4bx+c=0 has no real root,then

Given a,b, c are three distinct real numbers satisfying the inequality a-2b+4c gt0 and the equation ax ^(2) + bx +c =0 has no real roots. Then the possible value (s) of (4a +2b+x)/(a+3b+9c) is/are:

If a,b,c are rational numbers (a gt b gt c gt 0) and quadratic equation (a+b-2c) x ^(2) + (b+c-2a) x+ (c+a-2b)=0 has a root in the interval (-1,0) then which of the following statement (s) is/are correct ?

If a , b , c are positive numbers such that a gt b gt c and the equation (a+b-2c)x^(2)+(b+c-2a)x+(c+a-2b)=0 has a root in the interval (-1,0) , then

If the quadratic equation ax^(2)+bx+c=0 has real roots of opposite sign in the interval (-2,2), then prove that 1+(c)/(4a)-|(b)/(2a)|>0

ML KHANNA-THEORY OF QUADRATIC EQUATIONS -Problem Set - 4
  1. If x^(2)+2ax+10 -3a gt 0 for all x in R, then

    Text Solution

    |

  2. The expression y=ax^(2)+bx+c has always the same sign as of a if

    Text Solution

    |

  3. If the graph of the function y=16x^(2)+8(a+5) x-7a-5 is strictly above...

    Text Solution

    |

  4. Let f(x) be a quadratic expression possible for all real x. If g(x)=...

    Text Solution

    |

  5. If x^(2)-2 (4 lamda-1) x+ (15 lamda^(2)-2 lamda -7) gt 0 for all real ...

    Text Solution

    |

  6. If the equation x^(3 )-3x+a=0 has distinct roots between 0 and 1, then...

    Text Solution

    |

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

    Text Solution

    |

  8. If y= tan x cot 3x, x in R, then

    Text Solution

    |

  9. If a lt b lt c lt d, then the quadratic equation (x-a) (x-c) +2(x-b) (...

    Text Solution

    |

  10. Let a,b,c in R and a ne 0. If alpha is a root a^(2) x^(2) +bx+c=0, bet...

    Text Solution

    |

  11. If the roots of the equation x^(2)+2ax+b=0 are real and distinct and t...

    Text Solution

    |

  12. The middle point of the interval in which x^(2)+2 (sqrt(x))^(2)-3 le 0...

    Text Solution

    |

  13. If x in R , the least value of the expression (x^(2)-6x+5)/(x^(2)+2...

    Text Solution

    |

  14. The inequality (x^(2)-|x|-2)/(2|x|-x^(2)-2) gt 2 holds only if.

    Text Solution

    |

  15. If x is real, then (x^(2)-2x+4)/(x^(2)+2x+4) takes values in the inter...

    Text Solution

    |

  16. If x is real, the maximum value of (3x^(2)+9x+17)/(3x^(2)+9x+7) is :

    Text Solution

    |

  17. For real x , the function (x-a)(x-b)//(x-c) will assume all real value...

    Text Solution

    |

  18. If x in R then (x^(2)+2x+a)/(x^(2)+4x+3a) can take all real values if

    Text Solution

    |

  19. The values of p for which the expression (px^(2)+3x-4)/(p+3x-4x^(2)) c...

    Text Solution

    |

  20. If P (x) is a polynomial of degree less than or equal to 2 and S is th...

    Text Solution

    |