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

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 (a)1 (b) 2 (c) 4 (d) 8

If H is the orthocentre of a acute-angled triangle ABC whose circumcircle is x^(2)+y^(2)=16 then circum diameter of the triangle HBC is

In triangle ABC,/_A=60^(@),/_B=40^(@), and /_C=80^(@) . If P is the center of the circumcircle of triangle ABC with radius unity,then the radius of the circumcircle of triangle BPC is 1 (b) sqrt(3)(c)2(d)sqrt(3)2

If H is orthocentre of acute angled triangle ABC, then image of H with respect to side AB always lies on (1) Circumcircle of triangleABC (2) Circumcircle of triangleAHB (3) Escribed circle opposite to vertex C (4) Circumcircle of triangleAIB where I is incentve triangleABC

The altitudes from the vertices A,B,C of an acute angled triangle ABC to the opposite sides meet the circumcircle at D,E,F respectively . Then (EF)/(BC) =

In an acute angled triangle ABC, prove that tan^(2)a+tan^(2)B+tan^(2) C ge9 .

The equation of the base of an equilateral triangle ABC is x+y=2 and the vertex is (2,-1). The area of the triangle ABC is: (sqrt(2))/(6) (b) (sqrt(3))/(6) (c) (sqrt(3))/(8) (d) None of these

Let ABC be an acute angled triangle whose orthocentre is at H. If altitude from A is produced to meet the circumcircle of triangle ABC at D, then prove HD=4R cos B cos C