Home
Class 11
MATHS
Prove that the following sets of three l...

Prove that the following sets of three lines are concurrent: `15 x-18 y+1=0,\ 12 x+10 y-3=0\ a n d\ 6x+66 y-11=0.`

Promotional Banner

Topper's Solved these Questions

  • THE CIRCLE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

  • TRANSFORMATION FORMULAE

    RD SHARMA ENGLISH|Exercise All Questions|145 Videos

Similar Questions

Explore conceptually related problems

Prove that the following sets of three lines are concurrent: x/a+y/b=1, x/b+y/a=1\ a n d\ y=x

Find if the following lines are concurrent. 5x-3y-4=0, x-5y+7=0, 6x-17y+24=0

Examine whether the following three lines are concurrent or not. If yes, find the point of concurrenty 2x+3y-4=0, x-5y+7=0, 6x-17y+24=0

Prove that the centres of the three circles x^2 + y^2 - 4x – 6y – 12 = 0,x^2+y^2 + 2x + 4y -5 = 0 and x^2 + y^2 - 10x – 16y +7 = 0 are collinear.

Prove that the lies 3x+y-14=0,\ x-2y=0\ n a d\ 3x-8y+4=0 are concurrent.

Determine the distance between the following pair of parallel lines: \ 4x+3y-11=0\ a n d\ 8x+6y=15.

Prove that the line 12x-5y-3=0 is mid-parallel to the lines 12x-5y+7=0 and 12x-5y-13=0 .

Prove that the line 5x-2y-1=0 is mid-parallel ot the lines 5x-2y-9=0a n d 5x-2y+7=0.

Classify the following pairs of lines as coincident, parallel or intersecting: x+2y-3=0 a n d -3x-6y+9=0 ; x+2y+1=0 a n d 2x-4y+3=0 ; 3x-2y+5=0 a n d 2x+y-9=0

Find the angles between each of the following pairs of straight line: 3x+y+12=0\ a n d\ x+2y-1=0

RD SHARMA ENGLISH-THE STRAIGHT LINES -All Questions
  1. If the lines a1x+b1y+1=0,\ a2x+b2y+1=0\ a n d\ a3x+b3y+1=0 are concurr...

    Text Solution

    |

  2. Show that the following lines are concurrent: L1=(a-b)x+(b-c)y+(c-a)=0...

    Text Solution

    |

  3. Prove that the following sets of three lines are concurrent: 15 x-18 y...

    Text Solution

    |

  4. Prove that the following sets of three lines are concurrent: x/a+y/b=1...

    Text Solution

    |

  5. For what value of lambda are the three lines 2x-5y+3=0,\ 5x-9y+lambda=...

    Text Solution

    |

  6. Find the conditions that the straight lines y=m1x+c1, y=m2x+c2a n d\ y...

    Text Solution

    |

  7. Show that the straight lines L1=(b+c)x+a y+1=0,\ L2=(c+a)x+b y+1=0\ n ...

    Text Solution

    |

  8. If the three lines a x+a^2y+1=0,\ b x+b^2y+1=0\ a n d\ c x+c^2y+1=0 ar...

    Text Solution

    |

  9. If a ,\ b ,\ c are in A.P. prove that the straight lines a x+2y+1=0,\ ...

    Text Solution

    |

  10. Show that the perpendicular bisectors of the sides of a triangle are c...

    Text Solution

    |

  11. Find the equation of the line which is parallel to 3x-2y+5=0 and passe...

    Text Solution

    |

  12. Find the equation of the straight line that passes through the point (...

    Text Solution

    |

  13. Find equation of the line perpendicular to the line x-7y+5 =0 and havi...

    Text Solution

    |

  14. A person standing at the junction (crossing) of two straight paths rep...

    Text Solution

    |

  15. The equations of two sides of a triangle are 3x-2y+6=0\ a n d\ 4x+5y-2...

    Text Solution

    |

  16. Find the circumcentre of the triangle whose sides are 3 x-y+3 =0,3x +4...

    Text Solution

    |

  17. Find the equation of a line passing through the point (2,3) and para...

    Text Solution

    |

  18. find the equation of a line passing through (3,-2)and perpendicular...

    Text Solution

    |

  19. Find the equation of the perpendicular bisector of the line joining th...

    Text Solution

    |

  20. Find the equation of the altitudes of triangle ABC whose vertices ...

    Text Solution

    |