Home
Class 12
MATHS
Let the algebraic sum of the perpendicul...

Let the algebraic sum of the perpendicular distances from the points `(2,0),(0,2)a n d(1,1)` to a variable straight line be zero. Then the line pass through a fixed point whose coordinates are `(1,1)` b. `(2,2)` c. `(3,3)` d. `(4,4)`

A

`(1,1)`

B

`(-1,1)`

C

`(-1,-1)`

D

`(1,-1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 3|17 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 4|15 Videos

  • THE STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

  • THEORY OF EQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

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

Let the algebraic sum of the perpendicular distances from the points (2,0),(0,2) and (1,1) to a variable straight line be zero.Then the line pass through a fixed point whose coordinates are (1,1) b.(2,2) c.(3,3) d.(4,4)

Let the algebraic sum of the perpendicular distances from the point (3,0),(0,3)&(2,2) to a variable straight line be zero,then the line line passes through a fixed point whose coordinates are

The algebraic sum of the perpendicular distances from the points A(-2,0),B(0,2) and C(1,1) to a variable line be zero,then all such lines

If the algebraic sum of the perpendicular distances of the points (4,0),(0,4) and (2,2) form a variable straight line is zero.The line passes through a fixed point (p,q) then 3p+q=

If the algebraic sum of the perpendicular distances from the points (2.0)(0,2) and (4.4) to a variable line is ' ^(prime0) ' then the line passes through the fixed point

If the algebraic sum of the perpendiculars from the points (2,0),(0,2),(1,1) to a variable line be zero,then prove that line passes through a fixed-point whose coordinates are (1,1) .

If the algebraic sum of the perpendiculars from the points (2,0),(0,2),(1,1) to a variable be zero,then prove that the line passes through a fixed-point whose coordinates are (1,1)

ARIHANT MATHS-THE STRAIGHT LINES-Exercise For Session 2
  1. The number of lines that are parallel to 2x + 6y -7= 0 and have an int...

    Text Solution

    |

  2. The distance between the lines 4x + 3y = 11 and 8x + 6y = 15 is

    Text Solution

    |

  3. Let the algebraic sum of the perpendicular distances from the points (...

    Text Solution

    |

  4. If the quadrilateral formed by the lines a x+b y+c=0,a^(prime)x+b^(pri...

    Text Solution

    |

  5. The area of the parallelogram formed by the lines 3x-4y + 1=0, 3x-4y +...

    Text Solution

    |

  6. Area of the parallelogram formed by the lines y = mx, y = mx + 1,y = n...

    Text Solution

    |

  7. The co-ordinates of a point on the line y = x where perpendicular di...

    Text Solution

    |

  8. A line passes through the point (2,2) and is perpendicular to the lin...

    Text Solution

    |

  9. If the point (1,2) and (34) were to be on the same side of the line 3x...

    Text Solution

    |

  10. The lines y = mx , y + 2x = 0 , y = 2x + k and y + mx = k form a rh...

    Text Solution

    |

  11. What are the points on the x-axis whose perpendicular distance from th...

    Text Solution

    |

  12. The three sides of a triangle are given by (x^2 - y^2)(2x+3y-6) = 0. I...

    Text Solution

    |

  13. Are the points (3,4) and (2,-6) on the same or opposite sides of the l...

    Text Solution

    |

  14. If the point as (4,7) and (costheta,sintheta) , where 0<theta<pi , lie...

    Text Solution

    |

  15. Find the equations of lines parallel to 3x-4y-5=0 at a unit distance f...

    Text Solution

    |

  16. If the area of the parallelogram formed by the lines 2x - 3y + a = 0 ,...

    Text Solution

    |

  17. A line L is a drawn from P(4,3) to meet the lines L-1a n dL2 given by ...

    Text Solution

    |

  18. The vertices of a triangleOBC are O(0,0) , B(-3,-1), C(-1,-3). Find th...

    Text Solution

    |