The vertices of a triangle are `A(x_1, x_1tantheta_1),B(x_2, x_2tantheta_2)a n dC(x_3, x_3tantheta_3)dot` if the circumcentre of `"Delta"A B C` coincides with the origin and `H( x , y )` is the orthocentre, show that ` y/( x )=(sintheta_1+s intheta_2+sintheta_3)/(costheta_1+costheta_2+costheta_3)`

The vertices of a triangle are A(x_1, x_1, tan theta_1), B(x_2, x_2, tan theta_2) and C(x_3, x_3, tan theta_3). If the circumcentre coincides with origin then

The vertices of a triangle are A(x_(1),x_(1)tan theta_(1)),B(x_(2),x_(2)tan theta_(2))and C(x_(3),x_(3)tan theta_(3)) if the circumcentre of Delta ABC coincides with the origin and H(bar(x),bar(y)) is the orthocentre,show that (bar(y))/(bar(x))=(sin theta1+sin theta_(2)+sin theta_(3))/(cos theta_(1)+cos theta_(2)+cos theta_(3))

The vertices of a triangle are A(x_(1),x_(1)tan alpha),B(x_(2),x_(2)tan B eta) and C(x_(3),x_(3)tan gamma). If the circumcentre of Delta ABC coincides with the origin and H(a,b) be its orthocentre,then (a)/(b) is equal to

If sintheta_1+sintheta_2+sintheta_3=3, evaluate : costheta_1+costheta_2+costheta_3 .

If sintheta_(1)+sintheta_(2)+sintheta_(3)=3 , then costheta_(1)+costheta_(2)+costheta_(3)=?

If sintheta_1+sintheta_2+sintheta_3=3," then "costheta_1+costheta_2+costheta_3 is equal to

Prove that : (sintheta-2sin^(3)theta)/(2cos^(3)theta-costheta)-tantheta

If : tantheta=(1)/(7), "then" : (2sintheta+3costheta)/(3sintheta+4costheta)=

If tantheta=(11)/(13) , then find (5sintheta-3costheta)/(5sintheta+2costheta)

If 5tantheta=4 , then (5sintheta-3costheta)/(5sintheta+2costheta) is equal to