Home
Class 11
MATHS
If the equation a x^2+b x+c=0,a ,b ,c , ...

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

Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    CENGAGE PUBLICATION|Exercise All Questions|363 Videos
  • CONIC SECTIONS

    CENGAGE PUBLICATION|Exercise All Questions|1167 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 (c) a >0

If the equation x^2+2x+3=0 and ax^2+bx+c=0 , a, b, c in R, have a common root, then a:b:c is

If the equation x^(2)+2x+3=0andax^(2)+bx+c=0 , a,b,c in RR, have a cmmon root , then a : b : c is -

If the equations a x^2+b x+c=0 and x^3+3x^2+3x+2=0 have two common roots, then a) a=b=c b) a=b!=c c) a=-b=c d) a+b+c=3

If the equation a x^2+b x+c=x has no real roots, then the equation a(a x^2+b x+c)^2+b(a x^2+b x+c)+c=x will have a. four real roots b. no real root c. at least two least roots d. none of these

If a ,b ,c in R and equations a x^2+b x+c=0 and x^2+2x+3=0 have a common root, then find a : b : c

If the equation |x^2+b x+c|=k has four real roots, then a. b^2-4c > 0 and 0 0 and k > (4c-b^2)/4 d. none of these

If 3(a+2c)=4(b+3d), then the equation a x^3+b x^2+c x+d=0 will have a.no real solution b.at least one real root in (-1,0) c.at least one real root in (0,1) b.none of these

If a ,b ,c ,d in R , then the equation (x^2+a x-3b)(x^2-c x+b)(x^2-dx+2b)=0 has a) 6 real roots b) at least 2 real roots c) 4 real roots d) none of these

Let a >0,b >0 and c >0 . Then, both the roots of the equation a x^2+b x+c=0 : a. are real and negative b. have negative real parts c. have positive real parts d. None of the above

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If sqrt(3)+i=(a+i b)(c+i d) , then find the value of tan^(-1)(b//a)+ta...

    Text Solution

    |

  2. P(z) be a variable point in the Argand plane such that |z|=minimum {|z...

    Text Solution

    |

  3. If the equation a x^2+b x+c=0,a ,b ,c , in R have none-real roots, t...

    Text Solution

    |

  4. Prove that the equation Z^3+i Z-1=0 has no real roots.

    Text Solution

    |

  5. The locus of point z satisfying Re(1/z)=k, where k is a non-zero real ...

    Text Solution

    |

  6. If p(q-r)x^2+q(r-p)x+r(p-q)=0 has equal roots, then prove that 2/q=1/p...

    Text Solution

    |

  7. Find the square root 9+40 idot

    Text Solution

    |

  8. Let alpha,beta in Rdot If alpha,beta^2 are the roots of quadratic e...

    Text Solution

    |

  9. Let a be a complex number such that |a|<1a n dz1, z2,z3,... be the ve...

    Text Solution

    |

  10. Let lambda in R . If the origin and the non-real roots of 2z^2+2z+lam...

    Text Solution

    |

  11. If the ratio of the roots of the equation x^2+p x+q=0 are equal to rat...

    Text Solution

    |

  12. Let z=1-t+isqrt(t^2+t+2), where t is real parameter. The locus of z in...

    Text Solution

    |

  13. If sintheta,costheta be the roots of a x^2+b x+c=0 , then prove that b...

    Text Solution

    |

  14. Express the following complex numbers in a+i b form: ((3-2i)(2+3i))/((...

    Text Solution

    |

  15. If a ,b ,c are nonzero real numbers and a z^2+b z+c+i=0 has purely i...

    Text Solution

    |

  16. z^2+zabsz+absz^2=0 then the locus of z is

    Text Solution

    |

  17. If the sum of the roots of the equation 1/(x+a)+1/(x+b)=1//c is zero,...

    Text Solution

    |

  18. Solve the equation x^2+p x+45=0. it is given that the squared differen...

    Text Solution

    |

  19. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

    Text Solution

    |

  20. z1a n dz2 lie on a circle with center at the origin. The point of inte...

    Text Solution

    |