Question

The orthocentre of the triangle formed by the points A(a cos $\alpha$ ,a sin $\alpha$) $B(a\cos \beta ,a\sin \beta )C(a\cos \gamma ,a\sin \gamma )$ is

• A. $(cos\alpha +cos\beta +cos\gamma ,sin\alpha +sin\beta +sin\gamma )$
• B. $[a(cos\alpha +cos\beta +cos\gamma ),a(sin\alpha +sin\beta +sin\gamma )]$
• C. $[a(cos\alpha +sin\beta +sin\gamma ),a(sin\alpha +cos\beta +sin\gamma )]$
• D. $(cos\alpha cos\beta cos\gamma ,sin\alpha sin\beta sin\gamma )$

Answer 1

Answer: (B)

Circum center (0,0)
Ortho center = $(x_1+x_2+x_3,y_1+y_2-y_3)$