Find the distance between orthocentre and circumcentre of the triangle with vertex (0,0)(a,0)(0,b)
Darita , 7 Years ago
Grade 9
Analytical Geometry> Find the distance between orthocentre and...
1 Answers
Arun
Last Activity: 7 Years ago
Dear Student
When we draw it we see that, it is a right angled triangle.
Hence its orthocentre will be at origin (0,0)
And its hypotenuse will be 
(a²+b²).
And its circum centr will be at mid point of hypotenuse.
So distance from circum centre to orthocentre will be
distance between (0,0) to (a/2, b/2)
Distance = (a²/4 + b²/4)
= (1/2) (a² + b²)
Regards
Arun(askIITians forum expert)
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
\tThe 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 Year ago(s)
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 Year ago(s)
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 Year ago(s)
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 Year ago(s)
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: 2 Year ago(s)