the incentre of the triangle formed by (1,2) (3,4) (2,3) is
a)0 b)√2 c)1/√2 d)none
please explain
the incentre of the triangle formed by (1,2) (3,4) (2,3) is
a)0 b)√2 c)1/√2 d)none
please explain
Halak Sheth , 14 Years ago
Grade 10
Analytical Geometry> Coordinate Geometry...
1 AnswersAshwin Muralidharan IIT Madras
Hi Halak,
The incentre will be a co-ordinate. None of the option is in the co-ordinate format.
If it is inradus "r" that you are looking for,
Then r = area/semi-perimeter
Find a,b,c from distance formula. Then find area by Herons formula.
And s = (a+b+c)/2
And hence find the inradius.
You have a = 2root(2), b = root(2), and c = root(2).
Oh !!!, please note, the given points cannot represent a triangle, as they are collinear and lie on the same straight line.
So inradius = 0.
Hope this helps.
Best Regards,
Ashwin (IIT Madras).
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
Other Related Questions on analytical geometry
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
- The locus of the point represented by x= t^2 +t+1 and y=t^-t+1 is
analytical geometry
1 Answer Available
Last Activity: 3 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)
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
1 Answer Available
Last Activity: 3 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.
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
1 Answer Available
Last Activity: 3 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
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
1 Answer Available
Last Activity: 3 Years ago