The sum of the distance of a point P from two perpendicular lines in a plane is 1, then the locus of P
Shubh Singhal , 9 Years ago
Grade 12th pass
Analytical Geometry> The sum of the distance of a point P from...
1 AnswersY RAJYALAKSHMI
Last Activity: 9 Years ago
Let the perpendiculars lines be the x – axis and y – axis. The sum of the distances from the the point P (x, y) is 1. ie.
|x| + |y| = 1 – this is the locus of the point P which would be the rhombus whose sides are
x + y = 1; –x + y = 1; x – y = 1; –x – y = 1
If the perpendicular lines are other than co-ordinate axes, then we can get the same solution by using the transformation of the axes concept.
Provide a better Answer & Earn Cool Goodies
Enter text here...
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Ask a Doubt
Get your questions answered by the expert for free
Enter text here...
Other Related Questions on analytical geometry
The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
0 Answer Available
Last Activity: 2 Years ago
show that the centroids of the triangles of which three perpendiculars lie along the lines y=m1x,y=m2x,y=m3x lie on y(3+m2m3+m3m2+m1m2)=x(m1+m2+m3+3m1m2m3)
analytical geometry
0 Answer Available
Last Activity: 2 Years ago
show that the equation (ab-h²)(ax²+2hxy+by²+2gx+2fy)+af²+bg²-2fgh=0 represent a pair of straight lines and that these straight lines form a rhombus with the lines ax²+2hxy+by²=0
analytical geometry
0 Answer Available
Last Activity: 2 Years ago
A circle has its center on straight line 5x-2y+1=0 and cuts the x axis at two points whose absciasse are -5,3 find equation of the circle and it's radius.
analytical geometry
0 Answer Available
Last Activity: 2 Years ago
Prove that ax^2+by^2+cz^2 +2ux+2vy+2wz+d=0 represent a cone if u^2/a+v^/b+w^2/c=d
analytical geometry
0 Answer Available
Last Activity: 3 Years ago