The incenter of the triangle with vertices `(1,sqrt(3)),(0,0),` and `(2,0)` is `(1,(sqrt(3))/2)` (b) `(2/3,1/(sqrt(3)))` `(2/3,(sqrt(3))/2)` (d) `(1,1/(sqrt(3)))`

The incenter of the triangle with vertices (1,sqrt(3)),(0,0), and (2,0) is (a) (1,(sqrt(3))/2) (b) (2/3,1/(sqrt(3))) (c) (2/3,(sqrt(3))/2) (d) (1,1/(sqrt(3)))

The centroid of the triangle with vertices (1, sqrt(3)), (0, 0) and (2, 0) is

The incentre of a triangle with vertices (7, 1),(-1, 5) and (3+2sqrt(3),3+4sqrt(3)) is

(sqrt(3)+1+sqrt(3)+1)/(2sqrt(2))

The distance between the orthocentre and circumcentre of the triangle with vertices (1,2),\ (2,1)\ a n d\ ((3+sqrt(3))/2,(3+sqrt(3))/2) is a. 0 b. sqrt(2) c. 3+sqrt(3) d. none of these

(sqrt(3)-1)+(1)/(2)(sqrt(3)-1)^(2)+(1)/(3)(sqrt(3)-1)^(3)+….oo

The perimeter of the triangle formed by the points (0,\ 0),\ (1,\ 0) and (0,\ 1) is 1+-sqrt(2) (b) sqrt(2)+1 (c) 3 (d) 2+sqrt(2)

The straight line 3x+4y-12=0 meets the coordinate axes at Aa n dB . An equilateral triangle A B C is constructed. The possible coordinates of vertex C (a) (2(1-(3sqrt(3))/4),3/2(1-4/(sqrt(3)))) (b) (-2(1+sqrt(3)),3/2(1-sqrt(3))) (c) (2(1+sqrt(3)),3/2(1+sqrt(3))) (d) (2(1+(3sqrt(3))/4),3/2(1+4/(sqrt(3))))

Prove that : (1)/(sqrt(2)+1)+ (1)/(sqrt(3)+sqrt(2))+ (1)/(2+sqrt(3))=1

(1)/(2sqrt(5)-sqrt(3))-(2sqrt(5)+sqrt(3))/(2sqrt(5)+sqrt(3)) =