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 can follow these steps: ### Step 1: Find the intersection point of the first two lines We have the equations: 1. \( y = x + 1 \) (Equation 1) 2. \( y = 2x \) (Equation 2) To find the intersection point, we set the two equations equal to each other: ...
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

If the lines 2x+y-3=0,5x+ky-3=0 and 3x-y-2=0 are concurrent, then the value of k is

If the lines 2x + y -3 = 0 , 5x + k y - 3 = 0 and 3x - y - 2 = 0 are concurrent, find the value of k.

If the lines x+(a-1)y+1=0 and 2x+a^2y-1=0 are perpendicular, then find the value of adot

(i) Find the value of 'a' if the lines 3x-2y+8=0 , 2x+y+3=0 and ax+3y+11=0 are concurrent. (ii) If the lines y=m_(1)x+c_(1) , y=m_(2)x+c_(2) and y=m_(3)x+c_(3) meet at point then shown that : c_(1)(m_(2)-m_(3))+c_(2)(m_(3)-m_(1))+c_(3)(m_(1)-m_(2))=0

If the lines 2x + 3y = 8, 5x-6y + 7 = 0 and px + py = 1 are concurrent, then the line x + 2y - 1 = 0 passes through

If the straight lines x+2y=9,3x-5y=5 and ax+by=1 are concurrent , then the straight line 5x+2y=1 passes through the point

The lines 2x + y -1=0 , ax+ 3y-3=0 and 3x + 2y -2=0 are concurrent for -

The number of values of a for which the lines 2x+y-1=0 , a x+3y-3=0, and 3x+2y-2=0 are concurrent is (a).0 (b) 1 (c) 2 (d) infinite

If the lines 3x^(2)-4xy +y^(2) +8x - 2y- 3 = 0 and 2x - 3y +lambda = 0 are concurrent, then the value of lambda is

The value(s) of t for which the lines 2x+3y=5, t^(2)x+ty-6=0 and 3x-2y-1=0 are concurrent, can be :

NAGEEN PRAKASHAN ENGLISH-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. 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

    |