Home
Class 11
MATHS
If a x^2+b x+c=0,a ,b ,c in R has no re...

If `a x^2+b x+c=0,a ,b ,c in R` has no real zeros, and if `c<0` , then which of the following is true? (a) `a<0` (b) `a+b+c >0` (c)`a >0`

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE ENGLISH|Exercise All Questions|365 Videos

  • CONIC SECTIONS

    CENGAGE ENGLISH|Exercise All Questions|1344 Videos

Similar Questions

Explore conceptually related problems

If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c< 0 , then which of the following is true?

If ax^(2) + bx + c = 0 , a , b, c in R has no real roots, and if c lt 0, the which of the following is ture ? (a) a lt 0 (b) a + b + c gt 0 (c) a +b +c lt 0

If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, then c(a-b+c)>0 b. c(a+b+c)>0 c. c(4a-2b+c)>0 d. none of these

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

Given that a x^2+b x+c=0 has no real roots and a+b+c 0 d. c=0

If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4) 0 c=0 (d) None of these

If x^(2)+bx+x=0 has no real roots and a+b+c lt 0 then

If a, b, c ∈ R, a ≠ 0 and the quadratic equation ax^2 + bx + c = 0 has no real root, then show that (a + b + c) c > 0

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

Let a ,b ,c be real. If a x^2+b x+c=0 has two real roots alphaa n dbeta,w h e r ealpha >-1 , then show that 1+c/a+|b/a|<0

CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find non zero integral solutions of |1-i|^x=2^xdot

    Text Solution

    |

  2. If (1+i)(1+2i)(1+3i)......(1+n i)=(x+i y) , show that 2. 5. 10...... (...

    Text Solution

    |

  3. If a x^2+b x+c=0,a ,b ,c in R has no real zeros, and if c<0 , then wh...

    Text Solution

    |

  4. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  5. If f(x)=sqrt(x^2+a x+4) is defined for all x , then find the values of...

    Text Solution

    |

  6. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  7. Find the domain and range of f(x)=sqrt(x^2-4x+6)

    Text Solution

    |

  8. Prove that |z1+z2|^2=|z1|^2+|z2|^2, ifz1//z2 is purely imaginary.

    Text Solution

    |

  9. Find the range of the function f(x)=6^x+3^x+6^(-x)+3^(-x)+2.

    Text Solution

    |

  10. If omega is a cube root of unity, then find the value of the following...

    Text Solution

    |

  11. If alpha ,beta are the roots of the equation 2x^2+2(a+b)x+a^2+b^2=0 th...

    Text Solution

    |

  12. Let z1,z2, z3, zn be the complex numbers such that |z1|=|z2|=|zn|=1. I...

    Text Solution

    |

  13. If a ,b , in R such that a+b=1a n d(1-2ab)(a^3+b^3)=12 . The value ...

    Text Solution

    |

  14. If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

    Text Solution

    |

  15. Find the range of f(x)=x^2-x-3.

    Text Solution

    |

  16. If the fraction (x^3 +(a-10)x^2-x+a-6)/(x^3 +(a-6)x^2-x+a-10)reduces t...

    Text Solution

    |

  17. The polynomial f(x)=x^4+a x^3+b x^3+c x+d has real coefficients and f(...

    Text Solution

    |

  18. Find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3) for all n in Ndot

    Text Solution

    |

  19. If the quadratic equation a x^2+b x+c=0(a >0) has sec^2thetaa n dcos e...

    Text Solution

    |

  20. Find the value of 1+i^2+i^4+i^6++i^(2n)

    Text Solution

    |