Home
Class 12
MATHS
The value(s) of 'p' for which the equ...

The value(s) of ` 'p' ` for which the equation `ax^2-px + ab = 0` and `x^2-ax-bx + ab = 0` may have a common root, given `a,b` are non zero real numbers, is -

A

`a+b^(2)`

B

`a^(2) + b`

C

`a(1+b)`

D

`b(1+a)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If the equations x^(2) - ax + b = 0 and x^(2) + bx - a = 0 have a common root, then

If the equation ax^(2) + bx + c = 0 and 2x^(2) + 3x + 4 = 0 have a common root, then a : b : c

The value of a for which the equation x^3+2ax+2=0 and x^(4)+2ax^(2)+1=0 have a common root is "

The value of a for which the equation x^(3)+ax+1=0 and x^(4)+ax+1=0 have a common root,is

If the equation 2x^(2)-7x+9=0 and ax^(2)+bx+18=0 have a common root, then (a, b inR)

If a,b,c, in R and equations ax^(2) + bx + c =0 and x^(2) + 2x + 9 = 0 have a common root then

If the equations x^(2)-px+q=0 and x^(2)-ax+b=0 have a common root and the second equation has equal roots then

If the equation x^(2)+2x+3=0 and ax^(2)+bx+c=0 have a common root then a:b:c is

BANSAL-TEST PAPERS-MATHEMATICS
  1. The quadratic equation x^2-1088x+295680=0 has two positive integral r...

    Text Solution

    |

  2. Let x,y,z be real numbers such that 3x, 4y and 5z from a geometric pro...

    Text Solution

    |

  3. The value(s) of 'p' for which the equation ax^2-px + ab = 0 and x^2...

    Text Solution

    |

  4. x1 ,x2 are the x^2-3x+A= 0; x3 , x4 are roots of the equation x^2-12x ...

    Text Solution

    |

  5. Let alpha,beta , and gamma be three distinct real roots of the equatio...

    Text Solution

    |

  6. If the relation between x and y in order that the 20^(th) arithmetic m...

    Text Solution

    |

  7. Find the sum of the value (s) of a so that the equation (x^(2) + 2ax...

    Text Solution

    |

  8. If y=(sinx+cos e cx)^2+(cosx+secx)^2 , then the minimum value of y ,AA...

    Text Solution

    |

  9. 30. Radical centre of circles drawn on the sides as a diameter of tria...

    Text Solution

    |

  10. If a given line is tangent to the circle then perpendicular distance f...

    Text Solution

    |

  11. If a given line is tangent to the circle then perpendicular distance f...

    Text Solution

    |

  12. If 16l^2+9m^2=24lm+6l+8m+1 and the line mx+ly=1 is tangent to circle ...

    Text Solution

    |

  13. The equation 2sin^3theta+(2lambda-3)sin^2theta-(3lambda+2)sintheta-2la...

    Text Solution

    |

  14. If 2cosec theta - cos theta cot theta >= k AA theta in (0,pi), then va...

    Text Solution

    |

  15. The locus of points of intersection of the tangents to x^(2)+y^(2)=a^...

    Text Solution

    |

  16. A line through the origin intersects the parabola 5y=2x^(2)-9x+10 at t...

    Text Solution

    |

  17. Let S be the set of circles x^(2)+y^(2)=r^(2)" for "r=1, 2 and 3 and T...

    Text Solution

    |

  18. In a triangle, ABC, if cos A + cos B + 4 cos C=4," then find the value...

    Text Solution

    |

  19. The locus of the middle points of the focal chords of the parabola, y^...

    Text Solution

    |

  20. The odds against a certain event is 5 : 2 and the odds in favour of an...

    Text Solution

    |