Home
Class 12
MATHS
Let alpha1,alpha2 and beta1,beta2 be th...

Let `alpha_1,alpha_2` and `beta_1,beta_2` be the roots of `ax^2 + bx+c=0 and px^2 +qx+r=0` respectively. If the system of equations `alpha_1y+alpha_2z=0 and beta_1y+beta_2z=0` has non-trivial solution, then `b^2/q^2=(ac)/(pr)` . True or False

A

`(b^2)/(q^2) = (ac)/(pr)`

B

`(c^2)/(r^2) = (ab)/(pq)`

C

`(a^2)/(p^2) = (bc)/(qr)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2015

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

  • QUESTION-PAPERS-2017

    BITSAT GUIDE|Exercise MATHEMATICS |45 Videos

Similar Questions

Explore conceptually related problems

Let alpha_(1),alpha_(2) and beta_(1),beta_(2) be the roots of the equation ax^(2)+bx+c=0 and px^(2)+qx+r=0 respectively.If the system of equations alpha_(1)y+alpha_(2)z=0 and beta_(1)y_(beta-)2z=0 has a non trivial solution then prove that (b^(2))/(q^(2))=(ac)/(pr)

If alpha_1, alpha_2 be the roots of equation x^2+px+q=0 and beta_1,beta be those of equation x^2+rx+s=0 and the system of equations alpha_1y+alpha_2z=0 and beta_1 y+beta_2 z=0 has non trivial solution, show that p^2/r^2=q/s

If alpha , beta are the roots of ax^(2) + bx+ c = 0" and a+h, beta +h are the roots of px^(2) + qx+ r = 0 then what is h equal to ?

Let alpha, beta be the roots of x^(2) + bx + 1 = 0 . Them find the equation whose roots are -(alpha + 1//beta) and -(beta + 1//alpha).

if alpha and beta are the roots of the equation ax^(2)+bx+c=0 and if px^(2)+qx+r=0 has roots (1-alpha)/(alpha) and (1-beta)/(beta) then r=?

BITSAT GUIDE-QUESTION-PAPERS-2016-MATHEMATICS
  1. If z1 = sqrt3 + isqrt3 and z2 =sqrt3 + i , then the complex number ((z...

    Text Solution

    |

  2. If the matrix [(1,3,lamda+2),(2,4,8),(3,5,10)] is singular then lamda=

    Text Solution

    |

  3. Let alpha1,alpha2 and beta1,beta2 be the roots of ax^2 + bx+c=0 and p...

    Text Solution

    |

  4. If [] denotes the greatest integer less than or equal to the real numb...

    Text Solution

    |

  5. If alpha, beta are the roots of the equations x^(2) - 2x - 1 = 0. The...

    Text Solution

    |

  6. If a,b and c are real numbers then the roots of the equation (x-a)(x-b...

    Text Solution

    |

  7. What is lim(ntooo)(a^(n)+b^(n))/(a^(n)-b^(n)) where agtbgt1, equal to?

    Text Solution

    |

  8. The number of points at which the function f(x) = 1/(log|x|) is discon...

    Text Solution

    |

  9. If f (x) = {{:(( x log cos x )/( log (1 + x ^(2)))",", x ne 0), ( 0","...

    Text Solution

    |

  10. For any differentiable function y of x, (d^2 x)/(dy^2) ((dy)/(dx))^3 ...

    Text Solution

    |

  11. The set of all values of k for which the function f(x) = (k^2 - 3k + ...

    Text Solution

    |

  12. Match List I with List II and select the correct answer using the code...

    Text Solution

    |

  13. What is the x coordinate of the point on the curve f(x)=sqrt(x)(7x-6) ...

    Text Solution

    |

  14. A wire 34 cm long is to he bent in the form of a quadrilateral of whic...

    Text Solution

    |

  15. Consider the following statement in respect of the function f(x)=x^(...

    Text Solution

    |

  16. At an extreme point of a function f(X) the tangent to the curve is

    Text Solution

    |

  17. The curve y =xe^(x) has minimum value equal to

    Text Solution

    |

  18. A ray of light coming from the point (1,2) is reflected at a pont A on...

    Text Solution

    |

  19. The lines represented by the equation x^2 + 2sqrt(3)xy + 3y^(2) -3x...

    Text Solution

    |

  20. The line joining (5,0) to (10cos theta,10sin theta) is divided interna...

    Text Solution

    |