Home
Class 12
MATHS
If a x^2+b x+6=0 does not have distinct ...

If `a x^2+b x+6=0` does not have distinct real roots, then find the least value of `3a+bdot`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If ax^(2) + bx + 10 = 0 does not have two distinct real roots, then the least value of 5a + b, is

If ax^(2)-bx+5=0 does not have two distinct real roots, then find the minimun value of 5a+b.

If ax^(2)+bx+6=0 does not have two distinct real roots, a in R and b in R , then the least value of 3a+b is

If x^2-4x+log_(1/2)a=0 does not have two distinct real roots, then maximum value of a is

If (a^(2)-14a+13)x^(2)+(a+2)x-2=0 does not have two distinct real roots, then the maximum value of a^(2)-15a is _________.

If a, b in R and ax^2 + bx +6 = 0,a!= 0 does not have two distinct real roots, then :

If the equation sin ^(2) x - k sin x - 3 = 0 has exactly two distinct real roots in [0, pi] , then find the values of k .

If c is positive and 2a x^2+3b x+5c=0 does not have any real roots, then prove that 2a-3b+5b>0.

If the equation 2x^(3) -6x + k=0 has three real and distinct roots, then find the value (s) of k.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. Find tha value of the expression 2/log4(2000)^6+3/log5(2000)^6

    Text Solution

    |

  2. If b^2>4a c then roots of equation a x^4+b x^2+c=0 are all real and di...

    Text Solution

    |

  3. If a x^2+b x+6=0 does not have distinct real roots, then find the leas...

    Text Solution

    |

  4. log(3)(1+(1)/(3))+log(3)(1+(1)/(4))+log(3)(1+(1)/(5))+..+log(3)(1+(1)/...

    Text Solution

    |

  5. If [x]=[pi] , where [.] denotes greatest integer function, then (a) x ...

    Text Solution

    |

  6. The number of real solutions of equation x^(log(x)2)+x^(2)=3x is

    Text Solution

    |

  7. If log(10)(x-1)3-3log(10)(x-3)=log(10)8,then log(x)625 has the value e...

    Text Solution

    |

  8. If log (10)xlog 15-a and log75-b, then log(75)45 is:

    Text Solution

    |

  9. If x=underset(n=1)overset(2000)prodn, then the value of the expression...

    Text Solution

    |

  10. The sum of [1/2]+[1/2+1/(2000)]+[1/2+2/(2000)]+[1/2+3/(2000)]++[1/2+(1...

    Text Solution

    |

  11. The complete solution set of the inequation, -2<[x+2]lt=5w h e r e[dot...

    Text Solution

    |

  12. Let N=(log(3)135)/(log(15)3)-(log(3)5)/(log(405)3). Then N is

    Text Solution

    |

  13. Two consecutive vertices of a rectangle of area 10u n i t s^2 are (1, ...

    Text Solution

    |

  14. The coordinates of the midpoints of the sides of a triangle A B C are ...

    Text Solution

    |

  15. If the equation a x^2+2b x-3c=0 has no real roots and ((3c)/4)<1+b , t...

    Text Solution

    |

  16. The number of roots of the equation 3^(|x|){|2-|x||}=1 is :

    Text Solution

    |

  17. Solve 2cos^2theta+sinthetalt=2, where pi/2lt=thetalt=(3pi)/2dot

    Text Solution

    |

  18. If A is a 3xx3 matrix such that |A|=-2, then |-2A^(-1)| is equal to

    Text Solution

    |

  19. The acute angle between two straight lines passing through the point M...

    Text Solution

    |

  20. Find the value of 'k' for which the following set of quadratic equatio...

    Text Solution

    |