The ends of a line segment are `P(1, 3) and Q(1,1)`, R is 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

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

Interior point of a line segment

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

PQ is a line segment 12cm long and R is a point in its interior such PR=8cm,then

If P(-2,-5) and Q(4,3) and point R divides the segment PQ is the ratio 3:4 then find the coordinates of points R.

The coordinates of the points P and Q are respectively (4,-3) and (-1,7). Find the abscissa of a point R on the line segment PQ such that (PR)/(PQ)=(3)/(5) .

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

Comprehension (Q.6 to 8) A line is drawn through the point P(-1,2) meets the hyperbola x y=c^2 at the points A and B (Points A and B lie on the same side of P) and Q is a point on the lien segment AB. If the point Q is choosen such that PQ, PQ and PB are inAP, then locus of point Q is x+y(1+2x) (b) x=y(1+x) 2x=y(1+2x) (d) 2x=y(1+x)