Home
Class 11
MATHS
Find the equation of a line passing thro...

Find the equation of a line passing through the intersection of the lines `3x+2y=5` and `2x-y=1` and cuts equal intercepts on the axes.

Text Solution

AI Generated Solution

To find the equation of a line that passes through the intersection of the lines \(3x + 2y = 5\) and \(2x - y = 1\) and cuts equal intercepts on the axes, we can follow these steps: ### Step 1: Find the intersection point of the two lines We have the equations: 1. \(3x + 2y = 5\) (Equation 1) 2. \(2x - y = 1\) (Equation 2) ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN ENGLISH|Exercise Exercise|207 Videos
  • STATISTICS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|7 Videos
  • TRIGNOMETRIC FUNCTIONS

    NAGEEN PRAKASHAN ENGLISH|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 which cuts off equal intercepts on the axes.

Find the equation of a line passing through the intersection of the lines x+3y=4 and 2x-y=1 and (0,0) lies on this line.

Find the equation of a line passing through the point of intersection of the lines 5x+y-3=0 and x+3y+1=0 and made equal intercept from the co-ordinates axes.

Find the equation of the line passing through the point of intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the axes.

Obtain the equations of the line passing through the intersection of lines 4x-3y-1=0\ a n d\ 2x-5y+3=0 and equally inclined to the axes.

Find the equation of a line passing through the intersection of the lines 3x-y=1 and 5x+2y=9 and parallel to the line 3x+5y=8 .

Find the equation of the line passing through the point of intersection of the lines 4x-7y-3=0\ a n d\ 2x-3y+1=0 that has equal intercept to axes.

Find the equation of a line passing through the point of intersection of the lines 3x+5y=-2 and 5x-2y=7 and perpendicular to the line 4x-5y+1=0 .

Find the equation of line through the intersection of lines 3x+4y=7 and x-y+2=0 and whose slope is 5.

Find the equation of a line passing through the point of intersection of the lines x+y=4 and 2x-3y-1=0 and parallel to a line whose intercepts on the axes are 4 and 6 units.

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find the equation of a line passing through the intersection of the li...

    Text Solution

    |

  2. Find the new co-ordinates of the following points when origin is shift...

    Text Solution

    |

  3. At which point the origin should be shifted such that the new co-ordin...

    Text Solution

    |

  4. If the origin is shifted to the point (1,2) then what will be the tran...

    Text Solution

    |

  5. Find the point at which origin is shifted such that the transformed e...

    Text Solution

    |

  6. Find the point at which is shifted such that the transformed equations...

    Text Solution

    |

  7. Shift the origin to a suitable point so that the equation y^2+4y+8x-2=...

    Text Solution

    |

  8. Show that the area of triangle whose vertices are (1,0), (2,4) and (3,...

    Text Solution

    |

  9. Find the slope of the lines whose iclination is given : (i) 45^(@) (...

    Text Solution

    |

  10. Find the inclination of the lines whose slopes are as follows : (i) ...

    Text Solution

    |

  11. Find the slopes of the lines passing through the following points : ...

    Text Solution

    |

  12. If the slope of a line passing through the points (1,4) and (x,2) is 2...

    Text Solution

    |

  13. If the angle of inclination of line joining the points (x,3) and (-2,5...

    Text Solution

    |

  14. If the slop of line joining the points (6,-3) and (x,7) is 2, find the...

    Text Solution

    |

  15. Show that the line joining the points (4,-1) and (-3,3) is parallel to...

    Text Solution

    |

  16. If the line joining the points (5,y) and (4,9) is parallel to the line...

    Text Solution

    |

  17. Show that the line joining the points (4,-3) and (0,7) is perpendicula...

    Text Solution

    |

  18. If the line joining the points (6,-2) and (8,4) is perpendicular to th...

    Text Solution

    |

  19. Without using Pythagoras theorem, show that A(4,4),\ B(3,5)a n d\ C(-1...

    Text Solution

    |

  20. Using slopes, show that the points A(0,5), B(3,2) and C(-1,6) are coll...

    Text Solution

    |

  21. Using the slope of line, show that the points (-1,-2), (0,4), (3,3) an...

    Text Solution

    |