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 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, we can follow these steps: ### Step 1: Find the point of intersection of the two lines. To find the intersection point, we will solve the equations simultaneously. 1. The first equation is: \[ 4x + 7y - 3 = 0 \quad \text{(1)} ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.1|14 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.2|20 Videos
  • STRAIGHT LINES

    NCERT|Exercise EXERCISE 10.3|18 Videos
  • STATISTICS

    NCERT|Exercise EXERCISE 15.2|10 Videos
  • TRIGONOMETRIC FUNCTIONS

    NCERT|Exercise EXERCISE 3.1|7 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 and 2x-3y+1=0 , which has equal intercepts on the axes.

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

Find the equation of the line passing through the intersection of the lines 4x+7y-3=0 and 2x-3y+1=0 that has equal intercepts on the 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 equation of the line passing through the intersection of the lines 3x-4y+1=0 and 5x+y-1=0 and which cuts off equal intercepts from the axes.

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 a line passes through the point of intersection of thelines 2x+3y+1=0 and 3x-5y-5=0 and the made equal intercepts on the co-ordinate axes.

Find the equation of the line passing through the point (-4,5) and the point of intersection of the lines 4x-3y+7=0 and 2x+3y+5=0 .

Find the equation of the straight line passing through the point of intersection of the lines x-y+1=0 and 2x-3y+5=0 and at a distance 7/5 from the point (3, 2)

NCERT-STRAIGHT LINES-MISCELLANEOUS EXERCISE
  1. A ray of light passing through the point (1, 2) reflects on the x–axi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 passing through the origin and making a...

    Text Solution

    |

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

    Text Solution

    |

  11. If the lines y=3x+1and 2y=x+3are equally inclined to the liney=mx+4, ...

    Text Solution

    |

  12. Find the equation of a line drawn perpendicular to the line x/4+y/6=1t...

    Text Solution

    |

  13. Find the equation of the line parallel to yaxis and drawn through the...

    Text Solution

    |

  14. Find perpendicular distance from the origin of the line joining the p...

    Text Solution

    |

  15. What are the points on the yaxis whose distance from the line x/3+y/4=...

    Text Solution

    |

  16. Find the equations of the lines, which cutoff intercepts on the axes ...

    Text Solution

    |

  17. Find the values of theta and p, if the equation xcostheta+ysintheta...

    Text Solution

    |

  18. Find the values of k for which the line (k-3)x-(4-k^2)y+k^2-7k+6=0is (...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |