Let tangents at `A(z_1)` and `B(z_2)` are drawn to the circle `|z|=2`. Then which of the following is/are

Let z_1,z_2 be two complex numbers represented by points on the circle|z| =1 and |z|=2 respectively,then which of the following is incorrect

Let B and C lie on the circle with OA as a diameter,where O is the origin. If AOB = BOC = theta and z_1, z_2, z_3, representing the points A, B, C respectively,then which one of the following is true?

Equation of tangent drawn to circle |z|=r at the point A(z_(0)), is

Equation of tangent drawn to circle |z| = r at the point A(z_0) , is

Let z1 and z2 be two complex numbers such that |z1|=|z2| and arg(z1)+arg(z2)=pi then which of the following is correct?

z_1a n dz_2 are two complex numbers satisfying i|z_1|^2z_2-|z_2|^2z_1=z_1-i z_2dot Then which of the following is/are correct? R e((z_1)/(z_2))=0 (b) I m((z_1)/(z_2))=0 z_1( z )_2+( z )_1z_2=0 (d) |z_1||z_2|=1or|z_1|=|z_2|

Let z_1 and z_2 be complex numbers of such that z_1!=z_2 and |z_1|=|z_2|. If z_1 has positive real part and z_2 has negative imginary part, then which of the following statemernts are correct for te vaue of (z_1+z_2)/(z_1-z_2) (A) 0 (B) real and positive (C) real and negative (D) purely imaginary

Tangent are parallel to the three sides are drawn to the in-circle. If x,y,z are the lengths of parts of the tangents with in triangle, then prove that x/a+y/b+z/c=1.

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