Home
Class 11
MATHS
A person standing at a junction (crossin...

A person standing at a junction (crossing) of two straight paths represented by the equations `2x-3y+4=0 and 3x+4y-5=0` seek to reach the path whose equation is `6x-7y+8=0` in the least times. Find the equation of the path that he should follow.

Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise|10 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Revision exercise|31 Videos
  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Exercise 10.3|18 Videos
  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos
  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

A person standing at the junction (crossing) of two straight paths represented by the equations 2x-3y+4=0 and 3x+4y-5=0 wants to reach the path whose equation is 6x-7y+8=0 in the least time.Find equation of the path that he should follow.

A person standing at the junction (crossing) of two straight paths represented by the equations 2x" "+" "3y" "+4" "=" "0 and 3x" "+" "4y" "-" "5 = 0 wants to reach the path whose equation is 6x" "-" "7y" "+" "8" "=" "0 in the least time. Find

Two straight line paths are represented by the equation 2x-y=2 and -4x+2y=6 . Then the paths will

Two straight paths are represented by the equations x - 3y = 2 and -2x + 6y = 5 . Check whether the paths cross each other or not.

An elephant standing at the junction of two straight roads represented by the equations x − y+2 = 0 and y − 1 = 0 wants to reach another road whose equation is x − y − 3 = 0 . If the elephant can move in any direction and wants to cover the shortest distance to its destination road, then the equation of the path that the elephant should follow is:

The system of equations 3x + y -4=0 and 6x + 2y-8=0 has

Find the coordinates of the points of intersection whose equations are 2x-3y+5=0 and 7x+4y=3

The equations 2x-3y+6z=4, 5x+7y-14z=1 3x+2y-4z=0, have

Find the equation of a straight line through the intersection of 2x-3y+4=0 and 3x+4y-5=0 and parallel to Y -axis

MODERN PUBLICATION-STRAIGHT LINES -Miscelloneous 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=1t...

    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 passing through the origin and making a...

    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=0from the point (1,2)along the ...

    Text Solution

    |

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

    Text Solution

    |

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

    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 x-a xi ...

    Text Solution

    |

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

    Text Solution

    |

  20. A person standing at a junction (crossing) of two straight paths repr...

    Text Solution

    |