Home
Class 11
MATHS
Find the locus of the circumcenter of a ...

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line `a x+b y+c=0` and `l x+m y+n=0.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 Videos

Similar Questions

Explore conceptually related problems

Find the coordinates of the point of intersection of the lines 2x-y+3=0\ a n d\ x+2y-4=0.

Find the equation of the straight line which passes through the origin and the point of intersection of the lines ax+by+c=0 and a'x+b'y+c'=0 .

Find the equation of the circle which passes through the point of intersection of the lines 3x-2y-1=0a n d4x+y-27=0 and whose centre (2,-3) .

Find the equations of the straight lines passing through the point of intersection of the lines x+3y+4=0 and 3x+y+4=0 and equally inclined to the axes.

Find the equation of a line which passes through the intersection of the lines 3x+y-2=0 and x-y+1=0 and parallel to Y -axis.

Find the equation of the line passing through the point of intersection of the lines 4x-7y-3=0\ a n d\ 2x-3y+1=0 that has equal intercept to axes.

Find the equation of the straight line passing through the point of intersection of the two line x+2y+3=0 and 3x+4y+7=0 and parallel to the straight line y-x=8

Find the equation of the straight line which passes through the point (2,-3) and the point intersection of the lines x+y+4=0a n d3x-y-8=0.

Find the locus of the middle points of the segment of a line passing through the point of intersection of lines ax + by + c = 0 and lx + my + n = 0 and intercepted between the axes.

Find the equation of a line passing through the point of intersection of the lines x+3y+1=0 and 2x-y+3=0 and parallel to the line 3x-2y+1=0 .

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. A diagonal of rhombus A B C D is member of both the families of lines ...

    Text Solution

    |

  2. A regular polygon has two of its consecutive diagonals as lines sqrt(3...

    Text Solution

    |

  3. Find the locus of the circumcenter of a triangle whose two sides are ...

    Text Solution

    |

  4. A line L1-=3y-2x-6=0 is rotated about its point of intersection with t...

    Text Solution

    |

  5. Straight lines y=m x+c1 and y=m x+c2 where m in R^+, meet the x-axis ...

    Text Solution

    |

  6. Show that the reflection of the line a x+b y+c=0 on the line x+y+1=0 i...

    Text Solution

    |

  7. Two equal sides of an isosceles triangle are 7x-y+3=0 and x+y-3=0. Its...

    Text Solution

    |

  8. The number of possible straight lines passing through point(2,3) and f...

    Text Solution

    |

  9. In a triangle A B C , if A is (2,-1),a n d7x-10 y+1=0 and 3x-2y+5=0...

    Text Solution

    |

  10. The sides of a triangle are the straight line x+y=1, 7y=x, and sqrt(3)...

    Text Solution

    |

  11. One of the diameter of a circle circumscribing the rectangle ABCD is 4...

    Text Solution

    |

  12. The coordinates of two consecutive vertices A and B of a regular hex...

    Text Solution

    |

  13. P is a point on the line y+2x=1, and Q and R are two points on the lin...

    Text Solution

    |

  14. Distance of origin from the line (1+sqrt3)y+(1-sqrt3)x=10 along the li...

    Text Solution

    |

  15. In triangle ABC, the coordinates of the vertex A are , (4,-1) and lin...

    Text Solution

    |

  16. If the equation of any two diagonals of a regular pentagon belongs t...

    Text Solution

    |

  17. If it is possible to draw a line which belongs to all the given family...

    Text Solution

    |

  18. The locus of the image of the point (2,3) in the line (x-2y+3)+lambda...

    Text Solution

    |

  19. A B C is a variable triangle such that A is (1,2) and B and C lie ...

    Text Solution

    |

  20. If P(1+t/(sqrt(2)),2+t/sqrt(2)) is any point on a line, then the rang...

    Text Solution

    |