Home
Class 10
MATHS
If x^2+ax+b=0,x^2+bx+a=0 have a common r...

If `x^2+ax+b=0,x^2+bx+a=0` have a common roots then

A

a + b = 0

B

ab = 1

C

a + b = 1

D

a + b + 1 = 0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • Miscellaneous Problems

    BEYOND PUBLICATION|Exercise EXAMPLE|25 Videos
  • PAIR OF LINEAR EQUATIONS IN TWO VARIABLES

    BEYOND PUBLICATION|Exercise EXERCISE|174 Videos

Similar Questions

Explore conceptually related problems

If x^2 + bx + ca =0 , x^2 + cx +ab =0 have a common root then their other are the roots of the equation

IF x^2 +ax+bc=0 and x^2+bx +ca=0 have a common root , then a + b+ c=

IF x^2-4x+3=0,x^2-5x+k=0 have a common root, then k

IF x^2 +bx +a=0, ax^2+x+b=0 have a common root and the first equation has equal roots then 2a^2+b=

If the equations x^(2) + ax + bc = 0 and x^(2) + bx + ca = 0 have a common root, then their other roots satisfy the equation

If x^(2)+3x+2=0, x^(2)+6x+k=0 have a common root then p=

If x^2-hx - 21 =0 , x^2 - 3hx +35 =0 have a common root then h=

BEYOND PUBLICATION-MODEL PAPER-EXERCISE
  1. If sqrt a + sqrt b is an irrational number, then which of the followin...

    Text Solution

    |

  2. The graph y=ax+b is a straight line which intersects X-axis at

    Text Solution

    |

  3. If x^2+ax+b=0,x^2+bx+a=0 have a common roots then

    Text Solution

    |

  4. Coefficient of x in a polynomial ax^2 + bx + c is '0'. Then its zeroes...

    Text Solution

    |

  5. The series (n-1),(n-2),(n-3),…. Is a type of

    Text Solution

    |

  6. A metal cuboid of dimension 22 cm xx 15 cm xx 7.5 cm , was melted and ...

    Text Solution

    |

  7. If log a, log b, log c are in A.P. then a,b,c are

    Text Solution

    |

  8. To calculate the quantity of milk inside a bottle, we need to find out...

    Text Solution

    |

  9. The altitude of a right triangle is 7 cm less than its base. If the hy...

    Text Solution

    |

  10. Length of the dark line given in the diagram

    Text Solution

    |

  11. The shaded area in the figure shows

    Text Solution

    |

  12. Solution of x-y=2,x+y=0 lies in…..quadrant.

    Text Solution

    |

  13. Inconsistent equations may represent.

    Text Solution

    |

  14. If C (4, P) is a point on the line segment joining the points A(6,5) a...

    Text Solution

    |

  15. A boy observes that the length of his shadow is equal to his height. W...

    Text Solution

    |

  16. In a class of 35, 28 students brought junk food for their lunch. What ...

    Text Solution

    |

  17. The circumference of a circle exceeds the diameter by 16.8 cm. Find th...

    Text Solution

    |

  18. Compare the areas of two equilateral triangles which are constructed o...

    Text Solution

    |

  19. An ant is at (4,5) on graph sheet mounted of a wall. If it moves to a ...

    Text Solution

    |

  20. Show that (1 - sin theta)(1 + sin theta) (1 + tan^2 theta)=1

    Text Solution

    |