Two points `Pa n dQ` are given. `R` is a variable point on one side of the line `P Q` such that `/_R P Q-/_R Q P` is a positive constant `2alphadot` Find the locus of the point `Rdot`

Two points P and Q are given.R is a variable point on one side of the line PQ such that /_RPQ-/_RQP is a positive constant 2 alpha. Find the locus of the point R.

Two points P(a,0) and Q(-a,0) are given,R is a variable on one side of the line PQ such that /_RPQ-/_RQP is a positive constant 2 alpha. FInd the locus of point R .

Given P=(1,0) and Q=(-1,0) and R is a variable point on one side of the line PQ such that /_RPQ-/_RQP=(pi)/(4). The locus of the point R is

If P is any point on the plane lx+my+nz=p and Q is a point on the line OP such that OP.OQ=p^(2), then find the locus of the point Q.

P is a variable point on a circle C and R is a fixed point on PQ dividing it in the ratio p:q where p>0 and q>0 are fixed.Then the locus of R is

P is a variable point on xy = 1 in the first quadrant and R is a variable point on the positive x- axis . If rhombus OPQR ( in order ) is completed (where O is the origin ) , then find the locus of point Q.

Two different points P and Q are given on one side of line AB. Draw a circle passing through the points P and Q touching the line AB in point R.

P is the point (-1,2), a variable line through P cuts the x & y axes at A&B respectively Q is the point on AB such that PA, PQ, PB are H.P. Find the locus of Q