Home
Class 11
MATHS
If he roots of the equation12 x^2-m x+5=...

If he roots of the equation`12 x^2-m x+5=0` are in the ratio 2:3 then find the value of `mdot`

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 the roots of the equation x^2-6x+6=0 are a and b then find the value of 2(a^2+b^2) .

If one root of the equation 2x^2-5x+k=0 be twice the other, find the value of k.

Find the roots of the equation 2x^2 - x + 1/8 = 0

If the roots of the equation x^2+7x+m=0 are two consecutive whole number, then find the value of m.

If one root of the equations x^(2)+bx+12=0andx^(2)+bx+q=0 be 2, then find the value of q.

Find the root of equation 2x^2+3 x + 11=0.

If the roots of equation 5x^2-3x+6=0 are alpha and beta then find the value of 1/alpha+1/beta

The roots of the equation 3x^2-5x+p=0 are equal, state which of the following is the value of p?

The roots of the equation 3x^2-5x+p=0 are equal state which of the following is the value of p?

If the sum of the roots and product of the roots of the quadratic equation kx^(2)+2x+3k=0(kne0) are equal, then find the value of k.

CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the complete set of values of a such that (x^2-x)/(1-a x) atta...

    Text Solution

    |

  2. If alpha,beta are roots of x^2+p x+1=0a n dgamma,delta are the roots o...

    Text Solution

    |

  3. If he roots of the equation12 x^2-m x+5=0 are in the ratio 2:3 then fi...

    Text Solution

    |

  4. Ifalpha,beta be the roots of x^2-a(x-1)+b=0,then the value of 1/(alpha...

    Text Solution

    |

  5. The equation formed by decreasing each root of ax^(2)+bx+c=0 by 1 is2x...

    Text Solution

    |

  6. If the sum of the roots of an equation is 2 and the sum of their cubes...

    Text Solution

    |

  7. If x is real and (x^2+2x+c)/(x^2+4x+3c) can take all real values, of t...

    Text Solution

    |

  8. Find the range of f(x)=sqrt(x-1)+sqrt(5-xdot)

    Text Solution

    |

  9. If x^2+ax+bc=0 and x^2+bx+ac=0 have a common root, show their other ro...

    Text Solution

    |

  10. Let alpha,beta are the roots of x^2+b x+1=0. Then find the equation wh...

    Text Solution

    |

  11. Find the greatest value of a non-negative real number lambda for which...

    Text Solution

    |

  12. If a ,b ,c in R such that a+b+c=0a n da!=c , then prove that the root...

    Text Solution

    |

  13. Evaluate: i^(135) (-sqrt(-1))^(4n+3),n in N sqrt(-25)+3sqrt(-4)+...

    Text Solution

    |

  14. If the equation (a-5)x^2+2(a-10)x+a+10=0 has roots of opposite sign, t...

    Text Solution

    |

  15. If alphaa n dbeta are the roots of ax^2+bx+c=0a n dSn=alpha^n+beta^n,...

    Text Solution

    |

  16. If alpha is a root of the equation 4x^2+2x-1=0, then prove that 4alp...

    Text Solution

    |

  17. If both the roots of x^2-a x+a=0 are greater than 2, then find the val...

    Text Solution

    |

  18. If (y^2-5y+3)(x ^2+x+1)<2x for all x in R , then find the interval in...

    Text Solution

    |

  19. Find the values of 'a' which 4^t-(a-4)2^t+9/4alt0,foralltin(1,2)

    Text Solution

    |

  20. Find the number of positive integral values of k for which kx ^(2) +(k...

    Text Solution

    |