Home
Class 11
MATHS
Find the equation of the line passing t...

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.

Text Solution

AI Generated Solution

To find the equation of the line that passes through the point of intersection of the lines \(4x + 7y - 3 = 0\) and \(2x - 3y + 1 = 0\) and has equal intercepts on the axes, we can follow these steps: ### Step 1: Find the point of intersection of the two lines. We have the two equations: 1. \(4x + 7y - 3 = 0\) (Equation 1) 2. \(2x - 3y + 1 = 0\) (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 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 5x+y-3=0 and x+3y+1=0 and made equal intercept from the co-ordinates axes.

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.

Find the equations of the straight lines passing through the point of intersection of the lines x+3y+4=0 and 3x+y+4=0 and equally inclined to the axes.

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 3x+2y=5 and 2x-y=1 and cuts equal intercepts on the axes.

Find the equation of the circle passing through the point of intersection of the lines x+3y=0\ a n d\ 2x-7y=0 and whose centre is the point of intersection of the lines x+y+1=0\ a n d\ x-2y+4=0.

Find the equation of a line passing through the point of intersection of the lines 2x-7y+11=0 and x+3y=8 and passes through the point (2,-3) .

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

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

NAGEEN PRAKASHAN ENGLISH-STRAIGHT LINES-Exercise
  1. Find perpendicular distance from the origin of the line joining the p...

    Text Solution

    |

  2. Find the equation of the line parallel to y-axis and drawn through the...

    Text Solution

    |

  3. Find the equation of a line drawn perpendicular to the line x/4+y/6 = ...

    Text Solution

    |

  4. Find the area of the triangle formed by the lines y-x=0,x+y=0and x-k=0...

    Text Solution

    |

  5. Find the value of p so that the three lines 3x + y - 2 = 0, p x + 2 y...

    Text Solution

    |

  6. If three lines whose equations are y=m1x+c1,y=m2x+c2and y=m3x+c3are c...

    Text Solution

    |

  7. Find the equation of the lines through the point (3, 2) which make an...

    Text Solution

    |

  8. Find the equation of the line passing through the point of intersecti...

    Text Solution

    |

  9. Show that the equation of the straight line through the origin angle v...

    Text Solution

    |

  10. In what ratio, the line joining (1, 1)and (5, 7)is divided by the line...

    Text Solution

    |

  11. Find the distance of the line 4x+7y+5=0 from the point (1,""""2) al...

    Text Solution

    |

  12. Find the direction in which a straight line must be drawn through th...

    Text Solution

    |

  13. The hypotenuse of a right angled triangle has its ends at the points...

    Text Solution

    |

  14. Find the image of the point (3, 8)with respect to the line x + 3y = 7...

    Text Solution

    |

  15. If the lines y" "=" "3x" "+" "1 and 2y" "=" "x" "+" "3 are equally ...

    Text Solution

    |

  16. If sum of the perpendicular distances of a variable point P (x , y)fr...

    Text Solution

    |

  17. Find equation of the line which is equidistant from parallel lines ...

    Text Solution

    |

  18. A ray of light passing through the point (1, 2) reflects on the xax...

    Text Solution

    |

  19. Prove that the product of the lengths of the perpendiculars drawn fro...

    Text Solution

    |

  20. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |