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 `2alpha`. FInd the locus of 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 .

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.

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

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

A circle x^(2)+y^(2)=a^(2) meets the x-axis at A(-a,0) and B(a,0). P(alpha) and Q( beta ) are two points on the circle so that alpha-beta=2 gamma, where gamma is a constant. Find the locus of the point of intersection of AP and BQ.

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

Two points P and Q are taken on the line joining the points A(0.0) and B(3a,0) such that AP=PQ=QB .Circles are drawn on AP,PQ and QB as diameters.The locus of the point S from which,the sum ofsquares of the lengths of the tangents to the three circles is equal to b^(2) is

The position vectors of P and Q are respectively a and b. If R is a point on PQ such that PR=5PQ, then the position vector of R is