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`.

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

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

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

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

P (-4, 5) is the mid-point of line segment AB asshown in the following figure. Find the co-ordinates of points A and B. .

In the fig. l||m and O is the mid point of the line segment. Prove that O is also the mid point of any line segment CD having its end points on l and m respectively

The normal at a point P, on the ellipse x^2+4y^2=16 meets the x-axis at Q. If M is the mid-point of the line segment PQ, then the locus of M intersects the latus-rectum of the given ellipse at the points :

A plane meets the coordinate axes in A ,B ,C such that the centroid of triangle A B C is the point (p ,q ,r)dot Show that the equation of the plane is x/p+y/q+z/r=3.

The locus of the mid-point of the line segment joining the focus to a moving point oh the parabola y^2 = 4ax is a parabola with directrix :

In the given figure, P (3, 2) is mid-point of line segment AB. Find the co-ordinates of A and B. .