सिद्ध कीजिए कि किसी त्रिभुज के लिए, (sin alpha)/(A) = (sin beta)/(B) = ( sin gamma)/(c ), जहाँ v...

Let A = (cos alpha, sin alpha), B = (cos beta , sin beta), C = (cos gamma, sin gamma) . If origin is the orthocentre of the Delta ABC , then the value of sum cos (2 alpha - beta - gamma)= ____________

If cos alpha + cos beta + cos gamma = 3 then sin alpha + sin beta + sin gamma =

The orthocentre of triangle formed by (a cos alpha,a sin alpha),(a cos beta,a sin beta),(a cos gamma,a sin gamma) is

If cos alpha + cos beta + cos gamma = 0 = sin alpha + sin beta + sin gamma then (a) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / ( 2) (b) sin ^ (2) alpha + sin ^ (2) beta + sin ^ (2) gamma = (3) / (4) (c) cos ^ (alpha) + cos ^ (2) beta + cos ^ (2) gamma = (3) / (2) (d) cos ^ (2) alpha + cos2 beta + cos2 gamma = -1

Find the area of the triangle whose vertices are : (a cos alpha, b sin alpha), (a cos beta, b sin beta), (a cos gamma, b sin gamma)

Delta ABC has vertices A(a cos alpha,a sin alpha),B(a cos beta,a sin beta) and C(a cos gamma,a sin gamma) then its orthocentre is