Home
Class 12
MATHS
Find the value of lambda , if the line 3...

Find the value of `lambda` , if the line `3x-4y-13=0,8x-11 y-33=0 and 2x-3y+lambda=0` are concurrent.

A

20

B

`-7`

C

7

D

`-20`

Text Solution

Verified by Experts

The correct Answer is:
B
since , given lines are concurrent
` {: |(2,-3,k) , (3,-4,-13),(8,-11,-33)|:}=0`
` Rightarrow 2(132 -143) + 3( -99 +104) + k (-33, +32) =0`
` Rightarrow -22+15 -k =0`
k=-7
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

  • SOLVED PAPER 2019

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|150 Videos

  • THREE DIMENSIONAL GEOMETRY

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MHT CET Corner|3 Videos

Similar Questions

Explore conceptually related problems

Find the value of lambda, if the line 3x-4y-13=0,8x-11y-33=0 and 2x-3y+lambda=0 are concurrent.

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

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

Show that the lines 3x-4y+5=0,7x-8y+5=0 and 4x+5y=45 are concurrent.

If the straight lines 3x+4y+2=0,2x-y+3=0 and 2x+ay-6=0 are concurrent,then a=

For what value of lambda are the three lines 2x-5y+3=0,5x-9y+lambda=0 and x-2y+1=0 concurrent?

Prove that the lies 3x+y-14=0,x-2y=0 nad 3x-8y+4=0 are concurrent.

The value of k such that the lines 2x-3y+k=0,3x-4y-13=0 and 8x-11y-33=0 are concurrent is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STRAIGHT LINE -EXERCISE 2(MISCELLANEOUS PROBLEMS)
  1. Find the value of lambda , if the line 3x-4y-13=0,8x-11 y-33=0 and 2x-...

    Text Solution

    |

  2. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  3. If a striaght line passes through the points (-1/2,1) and (1,2) then ...

    Text Solution

    |

  4. The equation of the line passing through (0,0) and intersection point ...

    Text Solution

    |

  5. Determine the ratio in which the line 3x+y-9=0 divides the segment ...

    Text Solution

    |

  6. The equations y= +-sqrt3 x,y =1 are the sides of

    Text Solution

    |

  7. The slopes of the lines, which make an angle 45^(@) with the line 3x -...

    Text Solution

    |

  8. The image of the origin with reference to the line 4x+3y -25=0 is

    Text Solution

    |

  9. The length of perpendicular from the point ( a cos prop, a sin prop) ...

    Text Solution

    |

  10. L is a variable line such that the algebraic sum of the distances of ...

    Text Solution

    |

  11. The perpendicular bisector of the line segment joining P (1, 4) and ...

    Text Solution

    |

  12. A line passes through the point of intersection of the line 3x+y+1=0 a...

    Text Solution

    |

  13. The point P(a,b) lies on the straight line 3x+2y=13 and the point Q(b,...

    Text Solution

    |

  14. The equations of the perpendicular bisectors of the sides A Ba n dA C ...

    Text Solution

    |

  15. If the lines kx-2y-1=0 and 6x-4y-m=0 are identical (coindent) lines, t...

    Text Solution

    |

  16. The st. lines 3x + 4y =5 and 4x-3y = 15 interrect at a point A(3,-1)....

    Text Solution

    |

  17. The line passing through the point of intersection of x + y = 2,x-y = ...

    Text Solution

    |

  18. The equation of the line passing through the point of intersection of ...

    Text Solution

    |

  19. A ray of light along x+sqrt(3)y=sqrt(3) gets reflected upon reaching ...

    Text Solution

    |

  20. If (sin theta, cos theta) and (3,2) lie on the same side of the line x...

    Text Solution

    |

  21. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |