Home
Class 11
MATHS
A variable line passes through a fixed p...

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.

Text Solution

Verified by Experts

The correct Answer is:
`(1,1)`
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Revision exercise|31 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Chapter test|12 Videos

  • STRAIGHT LINES

    MODERN PUBLICATION|Exercise Miscelloneous Exercise|24 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise Chapter Test|7 Videos

  • TRIGONOMETRY

    MODERN PUBLICATION|Exercise Chapter Test (3)|12 Videos

Similar Questions

Explore conceptually related problems

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

A straight line passes through a fixed point (2, 3).Locus of the foot of the perpendicular on it drawn from the origin is

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 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) .

A variable straight line passes through a fixed point (h,k). Find the locus of the foot of the perpendicular on it drawn from the origin.

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)

Find the equation of the perpendicular drawn from the point P(-2,3) to the line x-4y+7=0. Also, find the coordinates of the foot of the perpendicular.