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

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 .

P(-3, 7) and Q(1, 9) are two points. Find the point R on PQ such that PR:QR = 1:1 .

A(2,3.0) and B(2,1,2) are two points.If the points P,Q are on the line AB such that AP=PQ=QB then PQ is Loo

Let A=(-2,0) and B=(1,0) and P is a variable point such that /_APB=60^(@). Prove analytically that the locus of P is a circle.Find its radius and centre.

Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y plane. The distance from a variable point P to the line BC is the geometic mean of the distances from this point to lines AB and AC then locus of P can be

The ends of a line segment are P(1,3) and Q(1,1), R a point on the line segment PQ such that PR:QR=1:lambda. If R is an interior point of the parabola y^(2)=4x then