Home
Class 12
MATHS
If a,b,c are positive real numbers, then...

If a,b,c are positive real numbers, then the number of positive real roots of the equation `ax^(2)+bx+c=0` is

A

0

B

1

C

2

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (single correct answer type questions))|20 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise ( Level 2 (Numerical answer type questions))|19 Videos

  • QUADRATIC EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Exercise (Concept-based single correct answer type questions)|20 Videos

  • PROGRESSIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|25 Videos

  • SETS, RELATIONS AND FUNCTIONS

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEAR.S B-ARCHITECTURE ENTRANCE EXAMINATION PAPERS|19 Videos

Similar Questions

Explore conceptually related problems

If a,b,c are positive real numbers,then the number of real roots of the equation ax^(2)+b|x|+c is

If a,b,c are positive real numbers.then the number of real roots of the equation ax^(2)+b|x|+c=0 is

If a,b,c are distinct positive real numbers, then

If a,b,c are positive then both roots of the equation ax^(2)+bx+c=0

If a,b,c are three distinct positive real numbers,the number of real and distinct roots of ax^(2)+2b|x|-c=0 is 0 b.4 c.2 d.none of these

Let a,b,c be real numbers in G.P. such that a and c are positive , then the roots of the equation ax^(2) +bx+c=0

Let a,b,c be three distinct positive real numbers then number of real roots of ax^2+2b|x|+c=0 is (A) 0 (B) 1 (C) 2 (D) 4

MCGROW HILL PUBLICATION-QUADRATIC EQUATIONS-Exercise ( Level 1 (single correct answer type questions))
  1. [ If domain of f(x)=sqrt(x^(2)+bx+4) is R, then maxi- mum possible in...

    Text Solution

    |

  2. If p in (-1, 1) , then roots of the quadratic equation (p - 1)x^(2) + ...

    Text Solution

    |

  3. If a,b,c are positive real numbers, then the number of positive real r...

    Text Solution

    |

  4. If the roots of the equation x^(2) + p^(2) = 8x + 6p are real, then p ...

    Text Solution

    |

  5. If the sum of the roots of the equation (a+1)x^2=(2a+3)x+(3a+4)=0 is -...

    Text Solution

    |

  6. If 3 - 4i is a root of x^(2) - px + q = 0 where p, q in R. then value...

    Text Solution

    |

  7. If x = 1 + i is a root of x^(3) - ix + 1 - i = 0 , then the quadratic ...

    Text Solution

    |

  8. If alpha and beta be the roots of the eqution x^(2) +px -1/ (2p^(2))...

    Text Solution

    |

  9. The equation sqrt(x+3-4sqrt(x-1))+sqrt(x+8-6sqrt(x-1))= hs

    Text Solution

    |

  10. The equation [ x - x^(2) - 1| = |2 x - 3 - x^(2) ] has

    Text Solution

    |

  11. If sin alpha, cos alpha are the roots of the equation ax^(2) + bx + c ...

    Text Solution

    |

  12. If x is real and k=(x^2-x+1)/(x2+x+1) , then k in [1//3,3] (b) kgeq3 ...

    Text Solution

    |

  13. If the equation x^(2) + bx + ca = 0 and x^(2) + cx + ab = 0 have a com...

    Text Solution

    |

  14. If the inequality (m x^2+3x+4+2x)//(x^2+2x+2)<5 is satisfied for all x...

    Text Solution

    |

  15. Suppose, a, b, c are three distinct real numbers. Let P (x) =((x-b)(x-...

    Text Solution

    |

  16. If ax^(2) + bx + c, a, b, c in R, a ne 0 has real zero and a - b + c l...

    Text Solution

    |

  17. If alpha, beta are the roots of the equation x^(2)-2x-a^(2)+1=0 and ga...

    Text Solution

    |

  18. If alpha, beta are the roots of the equation ax^(2) +2bx +c =0 and a...

    Text Solution

    |

  19. The quadratic equation x^(2) + 7x = 14 (q^(2) + 1) , where q is an int...

    Text Solution

    |

  20. Let a,b,c in R and a gt 0. If the quadratic equation ax^(2) +bx +c=...

    Text Solution

    |