Home
Class 11
MATHS
If the two roots of the quadratic equati...

If the two roots of the quadratic equation `ax^2+bx+c=0`and `alpha`and `beta`,find the value of `((aalpha^2)/(balpha+c)-(abeta^2)/(b beta+c))`

Promotional Banner

Topper's Solved these Questions

  • THE SCOTTISH CHURCH COLLEGIATE SCHOOL

    UNITED BOOK HOUSE|Exercise EXERCISE|53 Videos

  • TRIGONOMETRY

    UNITED BOOK HOUSE|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

If the roots of the quadratic equation 5x^2 - 2x - 3 = 0 be alpha and beta , find the value of (1)/(alpha)+(1)/(beta) .

IF alpha,beta be the roots of the equation ax^2+bx+c=0 find the value of (aalpha^2)/(balpha+c)-(abeta^2)/(b beta+c)

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^2 + beta^2

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of alpha^3 + beta^3

Two roots of the equation ax^2 +bx +c=0 is alpha,beta then find the value of 1/alpha^3 + 1/beta^3

Roots of the equation 3x^2 -6x+4=0 are alpha and beta then find the value of alpha^2 beta + alpha beta^2

If alpha,beta are the roots of the quadratic equation ax^2+bx+c=0 and 3b^2=16ac then

If alphaandbeta be the roots of the quadratic equation 2x^(2)+2x-3=0 , then find the values of alpha+beta+1

If alpha,beta are the roots of the quadratic equation ax^(2)+bx+c=0and3b^(2)=16ac then-

If alpha, beta are the roots of the quadratic equation ax^(2)+bx+c=0 and 3b^(2)=16 ac then

UNITED BOOK HOUSE-TIRTHAPATI INSTITUTION -EXERCISE
  1. If x costheta+ysintheta=xcosphi+ysinphithen show that y=x tan ((theta+...

    Text Solution

    |

  2. IF 2 costheta=x+1/xthen show that 2 cos3 theta=x^3+1/x^3

    Text Solution

    |

  3. Find the value of sin (221//2^@) with the help of the value of cos45^@

    Text Solution

    |

  4. tan25^@=a prove that (tan155^@-tan115^@)/(1+tan155^@.tan115^@)=(1-a^2)...

    Text Solution

    |

  5. Prove that,cos(pi/5)-cos((2pi)/5)=1/2

    Text Solution

    |

  6. By the principle of mathematical induction prove that (5^(2n)-1)is alw...

    Text Solution

    |

  7. IF x=a+bw+cw^2,y=a+bw^2+cwthen show that x^3+y^3=(2a-b-c)(2b-c-a)(2c-a...

    Text Solution

    |

  8. If the roots of the quadratic equation a(b-c)x^2+b(c-a)+c(a-b)=0be eq...

    Text Solution

    |

  9. Prove that (AcupB)^c=A^c capB^c[without venn-diagram]

    Text Solution

    |

  10. If sinx-siny=a and cosx+cosy=b,prove that tan((x+y)/2)=+-sqrt((4-a^2-b...

    Text Solution

    |

  11. Mathematically find the value of sin18^@

    Text Solution

    |

  12. Show that cos(pi/11)cos((2pi)/11)cos((3pi)/11)cos((4pi)/11)cos((5pi)/1...

    Text Solution

    |

  13. If cosx+cosy+cosz=0and sinx+siny+sinz=0then show that cos(x-y)+cos(y-z...

    Text Solution

    |

  14. If z=x+iy and |2z-1| =|z-2|then prove that x^2+y^2=1

    Text Solution

    |

  15. If the two roots of the quadratic equation ax^2+bx+c=0and alphaand bet...

    Text Solution

    |

  16. For any three sets A,B,C prove by the formulae of set algebra that (Ac...

    Text Solution

    |

  17. By the principle of mathematical induction prove that 1+2+3+4+…n=(n(n+...

    Text Solution

    |

  18. Prove that tan1^@tan2^@tan3^@...tan88^@tan89^@=1

    Text Solution

    |

  19. Show that tan50^@=tan40^@+2tan10^@

    Text Solution

    |

  20. Show that sqrt3/(sin20^@)-1/(cos20^@)=4

    Text Solution

    |