Q,R and S are the points on line joining the points `P(a,x)` and `T(b,y)` such that `PQ=QR=RS=ST` then `((5a+3b)/8, (5x+3y)/8)` is the mid point of

Find the coordinates of the point R on the line segment joining the points P(-1,3) and Q (2,5) such that PR =(3)/(5) PQ.

If P and Q are two points on the line joining A(-2,5),B(3,1) such that AP=PQ=QB then PB=

If R(x,y) is a point on the line segment joining the points P(a,b) and Q(b,a), then prove that x+y=a+b

Let P and Q be the points on the line joining A(-2, 5) and B(3, 1) such that AP = PQ=QB . Then, the mid-point of PQ is

P and Q are points on the line joining A(-2,5) and B(3,1) such that AP=PQ=QB .Then,the distance of the midpoint of PQ from the origin is (a) 3(b)(sqrt(37))/(2) (b) 4 (d) 3.5

If (1,(p)/(3)) is the mid-point of the line segment joining the points (2,0) and (0,(2)/(9)), then show that the line 5x+3y+2=0 passes through the point (-1,3p)

If P((a)/(3),4) is the mid the point of the line segment joining the points Q(-6,5) and R(-2,3), then the value of a is

Point P divides the line segment joining the points A(2,1) and B(5,-8) such that (AP)/(AB)=(1)/(3). If P lies on the line 2x-y+k=0, find the value of k .