If p(r,c) is mid-point of a line segment between the axes, then show that `x/r+y/c=2`.

If P(a,b) is the mid point of a line segment between the axes, then:

P (a, b) is the mid-point of a line segment between axes. Show that equation of the line is (x)/(a)+(y)/(b)=2

Find the mid points of the line segment joining the points .

Point R (h, k) divides a line segment between the axes in the ratio 1: 2. Find equation of the line.

The locus of the midpoint of a line segment that is drawn from a given external point P to a given circle with center O (where O is the orgin) and radius r is (a)a straight line perpendiculat to P O (b)a circle with center P and radius r (c)a circle with center P and radius 2r (d)a circle with center at the midpoint P O and radius r/2dot

If P ((a)/(3),(b)/(2)) is the mid - point of the line segment joining A(-4,3) and B(-2,4) then (a,b) is

Let S be the circle in the x y -plane defined by the equation x^2+y^2=4. (For Ques. No 15 and 16) Let P be a point on the circle S with both coordinates being positive. Let the tangent to S at P intersect the coordinate axes at the points M and N . Then, the mid-point of the line segment M N must lie on the curve (a) (x+y)^2=3x y (b) x^(2//3)+y^(2//3)=2^(4//3) (c) x^2+y^2=2x y (d) x^2+y^2=x^2y^2

If P(x ,y ,z) is a point on the line segment joining Q(2,2,4)a n d R(3,5,6) such that the projections of vec O P on the axes are 13/5, 19/5 and 26/5, respectively, then find the ratio in which P divides Q Rdot

Find the equation of a straight line passing through the mid-point of a line segment joining the points (1, -5), (4, 2) and parallel to Y axis