Home
Class 12
MATHS
If alpha, beta are the roots of ax^(2)+b...

If `alpha, beta` are the roots of `ax^(2)+bx+c=0 (a ne 0) and a+h, beta +h` are the roots of `px^(2)+qx+r=0 (p ne 0)` then the ratio of the squares of their discriminants is

A

`a^(2):p^(2)`

B

`a:p^(2)`

C

`a^(2):p`

D

`a:2p`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos
  • QUESTION PAPER 2015

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

If alpha,beta are the roots fo ax^2+bx+c=0 (ane0) and alpha+h, beta+h are the roots of px^2+qx+r=0(pne0) then the ration of the squares of their discriminants is

If alpha ,beta are the roots of ax^(2)+bx+c=0(ane0)andalpha+h,beta+h " are the roots of "px^(2)+qx+r=0(pne=0 then the ration of the squares of their discriminants is -

If alpha, beta are the roots of x^(2) - px + q = 0 and alpha', beta' are the roots of x^(2) - p' x + q' = 0 , then the value of (alpha - alpha')^(2) + (beta -alpha')^(2) + (alpha - beta')^(2) + (beta - beta')^(2) is

If alpha and beta are roots of ax^(2)+bx+c=0 then the equationnwhose roots are alpha^(2)andbeta^(2) is

If alpha and beta are the roots of ax^(2)+bx+cid=0 find the equation whose rootsare alpha^(-3), beta^(-3) .

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

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

If alpha,beta are the roots of x^2+px+q =0 and also of x^(2n)+p^n x^n+q^n=0 and if alpha/beta,beta/alpha are root of x^n+1+(x+1)^n =0, then n is

If alpha,beta are the roots of x^2-px+1=0 and gamma is a root of x^2+px+1=0 , then (alpha+gamma)(beta+gamma) is

If alpha,beta are the roots x^(2)-px+1=0 and gamma "is a root of "x^(2)+px+1=0 ,then (alpha+gamma)(beta+gamma) is -

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2014-MULTIPLE CHOICE QUESTIONS
  1. Let f(x)=x+1//2. Then the number of real values of x for which the t...

    Text Solution

    |

  2. Let f(x)=2x^(2)+5x+1. If we write f(x) as f(x)=a(x+1)(x-2)+b(x-2) (...

    Text Solution

    |

  3. If alpha, beta are the roots of ax^(2)+bx+c=0 (a ne 0) and a+h, beta +...

    Text Solution

    |

  4. Let p, q be real numbers . If alpha is the root of x^(2)+3p^(2)x+5q^(...

    Text Solution

    |

  5. The equation of the common tangent with positive slope to the parabola...

    Text Solution

    |

  6. The point on the parabola y^(2)=64x which is nearest to the line 4x+3y...

    Text Solution

    |

  7. Let z(1),z(2) be two fixed complex numbers in the Argand plane an...

    Text Solution

    |

  8. The function f(x)=(tan{pi[x-(pi)/(2)]})/(2+[x]^(2)) , where [x] denote...

    Text Solution

    |

  9. The function f(x)=a sin|x| +be^(|x|) is differentiable at x = 0 when

    Text Solution

    |

  10. If the coefficient of x^(8) in (ax^(2)+(1)/(bx))^(13) is equal to th...

    Text Solution

    |

  11. If I= int(0)^(2) e^(x^(4)) (x-a) dx=0, then alpha lies in the interva...

    Text Solution

    |

  12. The solution of the differential equation (dy)/(dx)=e^(y+x)+e^(y-x) is

    Text Solution

    |

  13. Suppose that the equation f(x)=x^(2)+bx +c=0 has two distinct real ...

    Text Solution

    |

  14. The function f(x)=x^(2)+bx+c, where b and c real constants, describes

    Text Solution

    |

  15. Let n ge 2 bet an integer, A=((cos(2pi//n),sin(2pi//n),0),(-sin(2pi//n...

    Text Solution

    |

  16. Ram is visiting a friend. Ram knows that his friend has 2 children ...

    Text Solution

    |

  17. The value of the sum (""^(n)C(1))^(2)+(""^(n)C(2))^(2) +(""^(n)C(3))^(...

    Text Solution

    |

  18. The remainder obtained when 1!+2!+3!+…+11! is divided by 12 is

    Text Solution

    |

  19. Out of 7 consonants and 4 vowels, the number of words (not necessarily...

    Text Solution

    |

  20. Let S=(2)/(1)""^(n)C(0)+(2^(2))/(2)""^(n)C(1)+(2^(3))/(3)""^(n)C(2)+…+...

    Text Solution

    |