" Let "A" lie on "lx+my+n=0,B" lie on "mx-ly+n=0" locus of the mid point of "bar(AB)

Let P be the point (1,0) and Q a point on the parabola y^(2) =8x, then the locus of mid-point of bar(PQ is-

In the adjoining figure, two points A and B lie on the same side of a line 'l'. C is the mid-point of AB. If AD botlandBEbotl, then prove that CD = CE.

In the adjoining figure, two points A and B lie on the same side of a line 'l'. C is the mid-point of AB. If AD botlandBEbotl, then prove that CD = CE.

Point A, B, and C all lie on a line. Point D is midpoint of bar(AB) and E is the midpoint of BC, bar(AB)=4 and bar(BC)=10 . Which of the following could be the length of bar(AE) ?

Let A be a fixed point (0,6) and B be a moving point (2t,0). Let M be the mid-point of AB and the perpendicular bisector of AB meets the y-axis at C. The locus of the mid-point P of MC is :

The lines lx+my+n=0,mx+ny+l=0 and nx+ly+m=0 are concurrent if (where l!=m!=n)

If B is the mid point of bar (AC) and C is the mid point of bar(BD) where A,B,C,D lie on a straight line ,say why AB=CD ?