If `H` is the othrocenter of an acute angled triangle ABC whose circumcircle is `x^2+y^2=16 ,` then circumdiameter of the triangle HBC is 1 (b) 2 (c) 4 (d) 8

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

Find the orthocentre of the triangle ABC whose angular points are A(1,2),B(2,3) and C(4,3)

In acute angled triangle ABC prove that tan ^(2)A+tan^(2)B+tan^(2)Cge9 .

Find the equation of the altitudes of triangle ABC whose vertices are A(2,-2), B(1,1) and C(-1,0)

A (4,8), B(-2,6) are two vertices of a triangle ABC. Find the coordinates of C if the centroid of the triangle is (2,7).

If the bisector of the angel C of a triangle ABC cuts AB in D and the circumcircle E, prove that CE:DE=(a+b)^2:c^2

If the sines of the angle A and B of a triangle ABC satisfy the equation c^(2) x^(2) - c (a + b) x + ab = 0 , then the triangle

A circumcircle is a circle which passes through all vertices of a triangle and an incircle is a circle which is inscribed in a triangle touching all sides of a triangle. Let ABC be a right-angled triangle whose radius of the circumcircle is 5 and its one side AB = 6. The radius of incircle of triangle ABC is r. Area of Delta ABC is

Find the equation of the medians of the triangle ABC whose vertices are A(2,5)B(-4,9)a n d\ C(-2,-1)dot

The angles A, B and C of a triangle ABC are in arithmetic progression. If 2b^(2)=3c^(2) then the angle A is :