Home
Class 11
MATHS
Let the algebraic sum of the perpendicul...

Let the algebraic sum of the perpendicular distance from the points (2, 0), (0,2), and (1, 1) to a variable straight line be zero. Then the line passes through a fixed point whose coordinates are___

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE PUBLICATION|Exercise All Questions|507 Videos

  • TRIGONOMETRIC FUNCTIONS

    CENGAGE PUBLICATION|Exercise All Questions|986 Videos

Similar Questions

Explore conceptually related problems

If a, b ,c are in A.P ., then the straight line ax + 2by + c=0 will always pass through a fixed point whose coordinates are

If 3a+2b+6c=0, the family of straight lines ax+by+c=0 passes through a fixed point whose coordinates are given by

A variable line passes through a fixed point P. The algebraic sum of the perpendiculars drawn from the points (2,0), (0,2) and (1,1) on the line is zero. Find the coordinate of the point P.

If a , b , c are in A . P ., then the straight line ax + 2 by + c = 0 will always pass through a fixed point whose coordinates are _

If a+b+c=0, then the straight lines 4ax + 3by+c=0 always pass through a fixed whose coordinates are-

A straight line moves in such a way that the algebraic sum of the perpendicular distance on it form the vertices of a given triangle is always zero. Show that the stright line always passes through the centroid of the triangle.

If a + 2b + 3c = 0, the family of straight lines ax + by + c = 0 passes through a fixed point, find the co-ordinates of fixed point.

Find the coordinates of the foot of the perpendicular drawn from the point (2,-5) on the straight line x=y+1.

Find the perpendicular distance of the point (4,-1) from the straight line throught the points (1,1) and (-11,-4).

Find the perpendicular distance of the straight line 4x-y=5 from the point (2,-1)

CENGAGE PUBLICATION-STRAIGHT LINES-All Questions
  1. The locus of the orthocenter of the triangle formed by the line (1+p)x...

    Text Solution

    |

  2. The vertices of a triangle are A(-1,-7),B(5,1)a n dC(1,4)dot If the ...

    Text Solution

    |

  3. Let the algebraic sum of the perpendicular distance from the points (2...

    Text Solution

    |

  4. A straight line through the origin 'O' meets the parallel lines 4x +2y...

    Text Solution

    |

  5. A straight line L with negative slope passes through the point (8,2) a...

    Text Solution

    |

  6. A straight lines L through the origin meets the lines x+y=1 and x+y=3 ...

    Text Solution

    |

  7. A rectangle PQRS has its side PQ parallel to the line y= mx and verti...

    Text Solution

    |

  8. The area of the triangle formed by the intersection of a line parallel...

    Text Solution

    |

  9. The lines ax + by + c = 0, where 3a + 2b + 4c= 0, are concurrent at th...

    Text Solution

    |

  10. The area enclosed within the curve |x|+|y|=1 is

    Text Solution

    |

  11. The orthocentre of the triangle formed by the lines x+y=1,2x+3y=6and 4...

    Text Solution

    |

  12. If a , b and c are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |

  13. Statement-l: If the diagonals of the quadrilateral formed by the lines...

    Text Solution

    |

  14. Statement :Two different lines can be drawn passing through two given ...

    Text Solution

    |

  15. Statement 1: The joint equation of lines y=xa n dy=-x is y^2=-x^2, i.e...

    Text Solution

    |

  16. Statement 1: If the sum of algebraic distances from point A(1,1),B(...

    Text Solution

    |

  17. Each question has four choice: a, b, c and d, out of which only one is...

    Text Solution

    |

  18. Statement 1:If the point (2a-5,a^2) is on the same side of the line x+...

    Text Solution

    |

  19. Statement 1: Each point on the line y-x+12=0 is equidistant from the l...

    Text Solution

    |

  20. If lines p x+q y+r=0,q x+r y+p=0 and r x+p y+q=0 are concurrent, the...

    Text Solution

    |