Home
Class 10
MATHS
Determine the values of a and b so th...

Determine the values of `a` and `b` so that the following system of linear equations have infinitely many solutions: `(2a-1)x+3y-5=0,\ \ \ \ 3x+(b-1)y-2=0`

Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    RD SHARMA|Exercise All Questions|306 Videos

  • POLYNOMIAL

    RD SHARMA|Exercise All Questions|179 Videos

Similar Questions

Explore conceptually related problems

Determine the values of m and n so that the following system of linear equation has infinite number of solution.(2m-1)x+3y-5=0,3x+(n-1)y-2=0

Determine the values of ma n dn so that the following system of linear equations have infinite number of solutions: (2m-1)x+3y-5=0 . 3x+(n-1)y-2=0

Find the values of a and b for which the following system of equations has infinitely many solutions: (2a-1)x-3y=5,quad 3x+(b-2)y=3

Find the values of a and b for which the following system of equations has infinitely many solutions: (a-1)x+3y=2,quad 6x+(1-2b)y=6

Determine the values of a and b for which the following system of linear equations has infinite solutions: 2x-(a-4)y=2b+1 and 4x-(a-1)y=5b-1

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x-(2a+5)y=5,quad (2b+1)x-9y=15

Find the values of a and b for which the following system of equations has infinitely many solutions: 2x+3y=7,quad (a-1)x+(a+2)y=3a

Find the values of a and b for which the following system of equations has infinitely many solutions : 2x+3y =7 2ax +ay = 28 - by

Show that the following systems of linear equations has infinite number of solutions and solve x+2y=5,\ \ 3x+6y=15

Show that the following system of linear equations has no solution: x+2y =12,x>=0,y>=1

RD SHARMA-PAIR OF LINEAR EQUATIONS IN TWO VARIABLES-All Questions
  1. For what value of k , the following system of equations will repres...

    Text Solution

    |

  2. Obtain the condition for the following system of linear equations t...

    Text Solution

    |

  3. Determine the values of a and b so that the following system of ...

    Text Solution

    |

  4. Find the values of a and b for which the following system of linear...

    Text Solution

    |

  5. Find the values of p and q for which the following system of linear...

    Text Solution

    |

  6. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  7. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  8. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  9. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  10. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  11. Find the values of a and b for which the following system of equati...

    Text Solution

    |

  12. Find the value of a for which the following system of equations has ...

    Text Solution

    |

  13. 4 chairs and 3 tables cost Rs 2100 and 5 chairs and 2 tables cost R...

    Text Solution

    |

  14. 2 tables and 3 chairs together cost Rs 2000 whereas 3 tables and 2 ...

    Text Solution

    |

  15. 5 pens and 6 pencils together cost Rs 9 and 3 pens and 2 pencils co...

    Text Solution

    |

  16. 3 bags and 4 pens together cost Rs 257 whereas 4 bags and 3 pens to...

    Text Solution

    |

  17. 5 books and 7 pens together cost Rs 79 whereas 7 books and 5 pens t...

    Text Solution

    |

  18. The coach of a cricket team buys 7 bats and 6 balls for Rs 3800. La...

    Text Solution

    |

  19. One says, “Give me a hundred, friend! I shall then become twice as ...

    Text Solution

    |

  20. A lending library has a fixed charge for the first three days and a...

    Text Solution

    |