Home
Class 12
MATHS
If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where...

If `3p^(2)=5p+2" and "3q^(2)= 5q+2`, where `p ne q`, then the equation whose roots are `3p-2q" and "3q-2p` is

A

`5x^(2)-3x-100=0`

B

`5x^(2)+3x+100=0`

C

`3x^(2)+3x+100=0`

D

`3x^(2)-5x-100=0`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|50 Videos
  • BINOMIAL THEOREM

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|51 Videos
  • CONIC SECTIONS

    NEW JOYTHI PUBLICATION|Exercise EXERCISE - HYPERBOLA|9 Videos

Similar Questions

Explore conceptually related problems

If p and q are the roots of the equation x^(2)+px+q=0 , then

If P = {4,3,2} and q={5} , form the sets P xx Q and Q xx P are these two products equal ?

The vertices of a triangle are (p q ,1/(p q)),(q r ,1/(q r)), and (r q ,1/(r p)), where p ,q and r are the roots of the equation y^3-3y^2+6y+1=0 . The coordinates of its centroid are (1,2) (b) 2,-1) (1,-1) (d) 2,3)

If p ,q in {1,2,3,4,5} , then find the number of equations of form p^2x^2+q^2x+1=0 having real roots.

If one root is square of the other root of the equation x^2+p x+q=0 then the relation between p and q is

If the roots of the equation q^2 x^2 + p^2 x + r^2 =0 are the squares of the roots of the equation qx^2 + px + r=0 , then p,q,r are in ………………….. .

NEW JOYTHI PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTIONS FROM COMPETITIVE EXAMS
  1. If alpha" and "beta are the roots of the quadratic equation 4x^(2)+3x+...

    Text Solution

    |

  2. If alpha" and "beta are the roots of ax^(2)+bx+c=0 and alpha+k, beta+k...

    Text Solution

    |

  3. If 3p^(2)=5p+2" and "3q^(2)= 5q+2, where p ne q, then the equation wh...

    Text Solution

    |

  4. The value of ((-1+sqrt(-3))/(2))^(26)+((-1-sqrt(-3))/(2))^(26) is

    Text Solution

    |

  5. If (sqrt(3)-i)^(50)= 2^(48)(x-iy), then x^(2)+y^(2) is equal to

    Text Solution

    |

  6. The value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+i^(580...

    Text Solution

    |

  7. If |(z-i)/(z+i)|=1, then the locus of z is

    Text Solution

    |

  8. The condition that one root of the equation ax^(2)+bx+c=0 may be squar...

    Text Solution

    |

  9. If alpha is one root of the equation 4x^(2)+2x-1=0, then the other roo...

    Text Solution

    |

  10. If the roots of the equation (a)/(x-a)+(b)/(x-b)=1 are equal in magnit...

    Text Solution

    |

  11. The equation of smallest degree with real coefficients having 2+i3 as ...

    Text Solution

    |

  12. If the expression a(b-c)x^(2)+b(c-a)xy+c(a-b)y^(2) is a perfect square...

    Text Solution

    |

  13. If sqrt(a + ib) = x + iy, then possible value of sqrt(a - ib) is

    Text Solution

    |

  14. If (1+i)(1+2i)(1+3i)"……."(1+ni)=a+ib," then "2xx5xx10xx"………"xx(1+n^2) ...

    Text Solution

    |

  15. If i^(2)= -1, then the sum i+i^(2)+i^(3)+"………" to 1000 terms is equal ...

    Text Solution

    |

  16. ((1+sin theta+icos theta)/(1+sin theta - icos theta))^(n)=

    Text Solution

    |

  17. If omega is a non real cube root of unity, then (a+b)(a+b omega)(a+b o...

    Text Solution

    |

  18. If Z(1)" and "Z(2) are any two complex numbers, then which one of the ...

    Text Solution

    |

  19. If alpha" and "beta are the roots of the equation x^(2)+2x+4=0, " then...

    Text Solution

    |

  20. If x^(2)+ax+10=0" and "x^(2)+bx-10=0 have a common root, then a^(2)-b^...

    Text Solution

    |