Home
Class 11
MATHS
If z(1), z(2) and z(3) are the vertices ...

If `z_(1)`, `z_(2)` and `z_(3)` are the vertices of `DeltaABC`, which is not right angled triangle taken in anti-clock wise direction and `z_(0)` is the circumcentre, then `((z_(0)-z_(1))/(z_(0)-z_(2)))(sin2A)/(sin2B)+((z_(0)-z_(3))/(z_(0)-z_(2)))(sin2C)/(sin2B)` is equal to

Promotional Banner

Similar Questions

Explore conceptually related problems

If z_(1),z_(2),z_(3) are the vertices of an isoscles triangle right angled at z_(2) , then

If z_(1),z_(2),z_(3) are the vertices A,B,C of a right angled triangle taken in counte-clockwise direction with right angle at B and (AC)/(BC)=sqrt(5) ,then (z_(3)-z_(2))=

z_(1),z_(2),z_(3) are the vertices of an equilateral triangle taken in counter clockwise direction. If its circumcenter is at (1-2i) and (z_(1)=2+i) , then z_(2)=

If the tangents at z_(1) , z_(2) on the circle |z-z_(0)|=r intersect at z_(3) , then ((z_(3)-z_(1))(z_(0)-z_(2)))/((z_(0)-z_(1))(z_(3)-z_(2))) equals

If z_(1),z_(2) and z_(3) are the vertices of a right angledtriangle in Argand plane such that |z_(1)-z_(2)|=3,|z_(1)-z_(3)|=5 and z_(2) is the vertex with the right angle then

If |z_(1)-z_(0)|=|z_(2)-z_(0)|=a and amp((z_(2)-z_(0))/(z_(0)-z_(1)))=(pi)/(2), then find z_(0)

Complex numbers of z_(1),z_(2),z_(3) are the vertices A, B, C respectively, of on isosceles right-angled triangle with right angle at C. show that (z_(1) - z_(2))^(2) = 2 (z_(1) - z_(3)) (z_(3)- z_(2))