13. In a triangle ABC, if A = `(0, 0)`; B =`(3,3sqrt3)`; C=`(-3sqrt3,3)` then the vector of magnitude `2sqrt2` units directed along A0, where O is the circumcentre of triangle ABC is

If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) then the vector of magnitude 2sqrt(2) units directed along A O ,\ w h e r e\ O is the circumcentre of A B C is a. (1-sqrt(3)) hat i+(1+sqrt(3)) hat j b. (1+sqrt(3)) hat i+(1-sqrt(3)) hat j c. (1+sqrt(3)) hat i+(sqrt(3)-1) hat j d. none of these

If in a Delta ABC,A=(0,0),B=(3,3sqrt(3)),C-=(-3sqrt(3),3) then the vector of magnitude sqrt(2) units directed along AO, where O is the circumcentre of ABC is (1-sqrt(3))hat i+(1+sqrt(3))hat j b.(1+sqrt(3))hat i+(1-sqrt(3))hat j c.(1+sqrt(3))hat i+(sqrt(3)-1)hat j d.none of these

In a triangle ABC if 2a= sqrt(3)b+c then

Consider a triangle ABC with at (0, -3), (-2sqrt(3), 3) and (2sqrt(3), 3) respectively. The incentre of the triangle with vertices at the mid points of the sides of triangle ABC is

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

In an triangle, ABC, if A=60^(@),B=45^(@) and a=2sqrt(3) units then, b=

Given b=2,c= sqrt3 and A= 30^@, then in-radius of triangle ABC is

In a triangle ABC, if A,B, C are in A.P and b:c = sqrt3:sqrt2 , then

In a triangle ABC,if (sqrt(3)-1)a=2b,A=3B, then /_C is