P is a point on the argand diagram on the circle with OP as diameter two points taken such that `angle POQ = angle QOR = 0` If O is the origin and P, Q, R are are represented by complex `z_1, z_2, z_3` respectively then show that `z_2^2cos2 theta =z_1z_3 cos^2theta`

P is a point on the argand diagram on the circle with OP as diameter two points taken such that angle POQ = angle QOR = theta . If O is the origin and P, Q, R are are represented by complex z_1, z_2, z_3 respectively then show that z_2^2cos2 theta =z_1z_3 cos^2theta

P is a point on the argand diagram on the circle with OP as diameter two points Q and R are taken such that angle POQ = angle QOR = theta . If O is the origin and P, Q, R are are represented by complex z_1, z_2, z_3 respectively then show that z_2^2cos2 theta =z_1z_3 cos^2theta

P is a point on the argand diagram on the circle with OP as diameter two points taken such that /_POQ=/_QOR=0 If O is the origin and P,Q,R are are represented by complex z_(1),z_(2),z_(3) respectively then show that z_(2)^(2)cos2 theta=z_(1)z_(3)cos^(2)theta

let z1, z2,z3 be vertices of triangle ABC in an anticlockwise order and angle ACB = theta then z_2-z_3 = (CB)/(CA)(z_1-z3) e^itheta . let p point on a circle with op diameter 2 points Q & R taken on a circle such that angle POQ & QOR= theta if O be origin and PQR are complex no. z1, z2, z3 respectively then z_2/z_1 = (A) e^(itheta) cos theta (B) e^(itheta) cos 2theta (C) e^(-itheta) cos theta (D) e^(2itheta) cos 2theta

let z1, z2,z3 be vertices of triangle ABC in an anticlockwise order and angle ACB = theta then z_2-z_3 = CB/CA(z_1-z3) e^itheta .let p point on a circle with op diameter 2points Q & R taken on a circle such that angle POQ & QOR= THETA if O be origin and PQR are complex no. z1, z2, z3 respectively then z_1/z_2=

let z1, z2,z3 be vertices of triangle ABC in an anticlockwise order and angle ACB = theta then z_2-z_3 = CB/CA(z_1-z3) e^itheta .let p point on a circle with op diameter 2points Q & R taken on a circle such that angle POQ & QOR= theta if O be origin and PQR are complex no. z1, z2, z3 respectively then z_3^2/(z_1.z_2)= (A) sec^2theta.cos2theta (B) costheta.sec^2(2theta) (C) cos^2theta.sec2theta (D) sectheta.sec^2(2theta)

If in argand plane the vertices A,B,C of an isoceles triangle are represented by the complex nos z_1 ,z_2, z_3 respectively where angleC=90^@ then show that (z_1-z_2)^2=2(z_1-z_3)(z_3-z_2)

P is any point , O being the origin. The circle on OP as diameter is drawn. Points Q and R are taken on the circle to lie on the same side of OP such that angle POQ= angle QOR=theta . If P, Q, R are z_1, z_2, z_3 such that 2 sqrt3 z_(2)^(2) = (2 + sqrt3) z_1 z_3 . Then find angle theta .

If two points P and Q are represented by the complex numbers z_1 and z_2 prove that PQ = abs(z_1 - z_2)

In Argand diagram, O, P, Q represent the origin, z and z+ iz respectively then angle OPQ =