No tangent can be drawn from the point `(5/2,1)` to the circumcircle of the triangle with vertices `(1,sqrt(3)),(1,-sqrt(3)),(3,-sqrt(3))` .

The incentre of the triangle with vertices (1, sqrt3 ) (0,0) (2,0) is

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

int_(1/sqrt(3))^(sqrt(3))(dx)/(1+x^(2))

Find the type of triangle formed by (1,-1), (1,1) and (- sqrt(3), sqrt(3))

Consider a branch of the hypebola x^2-2y^2-2sqrt2x-4sqrt2y-6=0 with vertex at the point A. Let B be one of the end points of its latus rectum. If C is the focus of the hyperbola nearest to the point A, then the area of the triangle ABC is (A) 1-sqrt(2/3) (B) sqrt(3/2) -1 (C) 1+sqrt(2/3) (D) sqrt(3/2)+1

The value of ((1+sqrt(3)i)/(1 - sqrt(3)i))^(10) is

Find the sum of the first n terms of the series 1/(sqrt(2) + sqrt(3)) + 1/(sqrt(3) + sqrt(4)) +...

In triangle A B C ,/_A=60^0,/_B=40^0,a n d/_C=80^0dot If P is the center of the circumcircle of triangle A B C with radius unity, then the radius of the circumcircle of triangle B P C is (a)1 (b) sqrt(3) (c) 2 (d) sqrt(3) 2

In an equilateral triangle, three coins of radii 1 unit each are kept so that they touch each other and also the sides of the triangle. The area of the triangle is (fig) 4:2sqrt(3) (b) 6+4sqrt(3) 12+(7sqrt(3))/4 (d) 3+(7sqrt(3))/4