Q . 1. Find a point on the x-axis which is equidistance from the points (7, 6) and (-3, 4).
Q . 2. Show that the points A (1,2),B (5,4),C (3,8) and D (-1,6) are the vertices of a square.
Q . 3. If A(6,-1), B(1,3) and C(k,8) are three points such that AB = BC, find the value of k.
Q . 4. By distance formula, shoe that the points (1,-1), (5,2), (9,5), are collinear.
Q . 5. Find the ratio in which the point P (m,6) divides the join of A(-4,3) and B(2,8). Also find
the value of m.
Q . 6. In what ratio is the line segment joining the points (-2,-3) and (3,7) divided by the y-axis .
Also. find the coordinates of the points of division.
Q . 7. Two vertices of a 
ABC are given by A(6,4) and (-2,2), and its centroid is G(3,4).Find the coordinates of the third vertex C of ABC.
Q . 8. Show that the points (a, b + c), (b, c + a), (c, a + b), are collinear . .
Q . 9. Find the area of quadrilateral ABCD whose vertices are A (-5,7),B (-4,-5),C (-1,-6) and
D(4,5).
