Home
Class 11
MATHS
If the lines y=x+1, y=2x and y=kx+3 are ...

If the lines `y=x+1`, `y=2x` and `y=kx+3` are concurrent find the value of `'k'`.

Text Solution

AI Generated Solution

To find the value of \( k \) for which the lines \( y = x + 1 \), \( y = 2x \), and \( y = kx + 3 \) are concurrent, we will follow these steps: ### Step 1: Find the intersection point of the first two lines We need to find the point where the lines \( y = x + 1 \) and \( y = 2x \) intersect. To do this, we set the equations equal to each other: \[ x + 1 = 2x \] ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NAGEEN PRAKASHAN|Exercise Exercise|206 Videos
  • STATISTICS

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

    NAGEEN PRAKASHAN|Exercise MISCELLANEOUS EXERCISE|10 Videos

Similar Questions

Explore conceptually related problems

If the lines 3y+4x=1, y=x+5 and 5y+bx=3 are concurrent then b=

If the line x=a+m,y=-2 and y=mx are concurrent,then least value of |a| is

If lines 3y+4x=1,y=x+5and5y+bx-3=0 are concurrent, then the value of b = ?

If the lines x-y-1=0, 4x+3y=k and 2x-3y+1=0 are concurrent, then k is

If the lines 3y + 4x = 1 , y = x + 5 and 5y + bx = 3 are concurrent, then what is the value of b?

If the lines x^(2)-y^(2)-2x+2y=0 and x+2y+k=0 are concurrent, then k=

NAGEEN PRAKASHAN-STRAIGHT LINES-Exercise
  1. If the lines y=x+1, y=2x and y=kx+3 are concurrent find the value of '...

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

    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

    |