Home
Class 11
MATHS
Write the integral values of m for which...

Write the integral values of `m` for which the x-coordinates of the point of intersectioin of eh lines `y=m x+1\ a n d\ 3x+4y=9` is an integer.

Text Solution

Verified by Experts

Given` 3x + 4y = 9` …(i)
`y = mx + 1` …(ii)
By solving (i) and (ii) we get the point of intersection of the two lines.
Substitute (ii) in (i), we get` x = 5/(3 + 4m)`
...
Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA|Exercise Solved Examples And Exercises|144 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA|Exercise Solved Examples And Exercises|145 Videos

Similar Questions

Explore conceptually related problems

The number of integral values of m for which the x-coordinate of the point of intersection of the lines 3x+4y=9 and y=m x+1 is also an integer is 2 (b) 0 (c) 4 (d) 1

The number of integral values of m, for which the x coordinate of the point of intersection of the lines 3x + 4y = 9 and y = mx + 1 is also an integer, is

The number of integer values of m, for which the x-coordinate of the point of intersection of the lines,3x+4y=9 and y=xm+1 is also an integer is 2(b)0(c) (d) 1

The coordinates of the point of intersection of the lines 3x+4y-18=0 and 4x-5y+7=0 are

The number of intergral values of k if x coordinate of the point of intersection of the line 5x+7y=12and y=kx+2 is also an integer is

The number of integral value of m so that the abscissa of point of intersection of lines 3x+4y=9 and y=mx+1 is also an integers is

RD SHARMA-THE STRAIGHT LINES -Solved Examples And Exercises
  1. Write the area of the triangle formed by the coordinate axes and the ...

    Text Solution

    |

  2. Write the coordinates of the image of the point (3,8) in the lines x+3...

    Text Solution

    |

  3. Write the integral values of m for which the x-coordinates of the poin...

    Text Solution

    |

  4. The equation (b-c)x+(c-a)y+(a-b)=0 and (b^3-c^3)x+(c^3-a^3)y+a^3-b^3=0...

    Text Solution

    |

  5. If a , b , c are in G.P. write te area of the triangle formed by the l...

    Text Solution

    |

  6. Write the locus of a point the sum of whose distances from the coor...

    Text Solution

    |

  7. If a ,\ b , c are in A.P., then the line a x+b y+c=0 passes through a ...

    Text Solution

    |

  8. Find the locus of the mid points of the portion of the lines xsintheta...

    Text Solution

    |

  9. L is a variable line such that the algebraic sum of the distances of ...

    Text Solution

    |

  10. The acute angle between the medians drawn from the acute angles of a r...

    Text Solution

    |

  11. The distance between the orthocentre and circumcentre of the triangle ...

    Text Solution

    |

  12. The equation of the straight line which passes through the point (-4,3...

    Text Solution

    |

  13. The point which divides the join of (1,2) and(3,4) externally in the ...

    Text Solution

    |

  14. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  15. I the lines a x+12 y+1=0,\ b x+13 y+1=0 and c x+14 y+1=0 are concurren...

    Text Solution

    |

  16. The number of real values of lambda for which the lines x-2y+3=0,\ lam...

    Text Solution

    |

  17. The equations of the sides A B ,\ B C\ a n d\ C A\ of\ triangleA B C\ ...

    Text Solution

    |

  18. If p1a n d\ p2 are the lengths of te perpendiculars from the origin...

    Text Solution

    |

  19. Area of the triangle formed by the points ((a+3)(a+4),\ a+3),\ ((a+2)(...

    Text Solution

    |

  20. If a+b+c=0 , then the family of lines 3a x+b y+2c=0 pass through fixed...

    Text Solution

    |