Home
Class 12
MATHS
If the algebraic sum of the distances fr...

If the algebraic sum of the distances from the points (2,0), (0, 2) and (1, 1) to a variable line be zero then the line passes through the fixed point.

A

(0,0)

B

(1, 1)

C

(-1, 1)

D

(2,1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|122 Videos

  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos

  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

If the algebraic sum of the distances of a variable line from the points (2,0),(0,2), and (-2,-2) is zero, then the line passes through the fixed point. (a) (-1,-1) (b) (0,0) (c) (1,1) (d) (2,2)

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.

What is slope of line passing through points (4, 6 ) and (1, - 2) ?

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

Find the equation of the lines passing through the point (1,1) and (-2,3)

Find the locus of the foot of perpendicular from the point (2, 1) on the variable line passing through the point (0, 0).

Find the equation of the circle passing through the points (2,3) and (-1,-1) and whose centre is on the line x-3y-11=0.

Prove that all the lines having the sum of the interceps on the axes equal to half of the product of the intercepts pass through the point. Find the fixed point.

NEW JOYTHI PUBLICATION-STRAIGHT LINES-EXERCISE
  1. The image of the point (3, 8) with respect to the line x + 3y = 8 is

    Text Solution

    |

  2. Line x + 2y - 8 = 0 is the perpendicular bisector of AB. If B = (3, 5...

    Text Solution

    |

  3. If the algebraic sum of the distances from the points (2,0), (0, 2) a...

    Text Solution

    |

  4. If a, b, c are in AP then ax + by +c=0 represents

    Text Solution

    |

  5. The set of lines ax + by + c = 0 where 3a + 2b + 4c = 0 intersect at ...

    Text Solution

    |

  6. If a, b, c are in AP then ax + by + c = 0 will always pass through a ...

    Text Solution

    |

  7. The mid points of the sides of a triangle are (5, 0), (5, 12) and (0,...

    Text Solution

    |

  8. One vertex of the equilateral triangle with centroid at the origin an...

    Text Solution

    |

  9. A (-5,0) and B (3,0) are two of the verti- ces of a triangle ABC. Its...

    Text Solution

    |

  10. The ratio in which the line 3x+4y+2 = 0 divides the distance between...

    Text Solution

    |

  11. If the foot of perpendicular from the origin to a straight line is at...

    Text Solution

    |

  12. A rectangle has two opposite vertices at (1, 2) and (5,5). If the oth...

    Text Solution

    |

  13. If the lines ax + 2y + 1 = 0, bx + 3y + 1 = 0, cx + 4y + 1 = 0 are co...

    Text Solution

    |

  14. The distance of the point (3, 5) from the line 2x + 3y - 14 = 0 measu...

    Text Solution

    |

  15. A straight line through the point (2, 2) intersects the lines sqrt3 x...

    Text Solution

    |

  16. If the extremities of the base of an isosce- les triangle are the poi...

    Text Solution

    |

  17. The equation of the line passing through the intersection of x - sqrt...

    Text Solution

    |

  18. The equations of the lines through (-1,-1) and making angles 45^(@) w...

    Text Solution

    |

  19. If the vertices of a diagonal of a square (-2, 4) and (-2, 2) then it...

    Text Solution

    |

  20. The orthocentre of the triangle formed by the lines x = 0, y = 0 and ...

    Text Solution

    |