AD is the median on BC. Find the coordinates of the point D

Let A(2,3) and B(2,-4) be two points. If P lie on the x - axis , such that AP = (3)/(7)AB , Find the coordinate of P.

Two fixed points A and B are taken on the coordinates axes such that O A=a and O B=b . Two variable points A ' and B ' are taken on the same axes such that O A^(prime)+O B^(prime)=O A+O Bdot Find the locus of the point of intersection of A B^(prime) and A^(prime)Bdot

Let A(6,4)a n dB(2,12) be two given point. Find the slope of a line perpendicular to A Bdot

Point M(-3,7) and N(-1,6) divides segment AB into three equal parts. Find the coordinates of point A and Point B.

Let A(2, 2), B(8, –4) be two given points in a plane. If a point P lies on the X- axis (in positive side), and divides AB in the ratio 1: 2, then find the coordinates of P.

If A(10,11) and B(2,3) are the coordinates of end points of diameter of circle . The find the centre of the circle .

Segments AB and CD bisects each other at point M. If A(4,3), B(-2,5), C(-3,5), then find coordinates of D.

If A-P-Q-B, point P and Q trisects seg AB and A(3,1), Q(-1,3), then find coordinates of points B and P.