Question

1. show that points(2,-3), (5,0), (2,3), and (-1,0), are the vertices of a square.
2. the distance (x,1) is 2 square root of 5 units from (2, 3), find x.
3. what are the coordinates of the point 3 units from the Y-axis and at distance square root 5 from (5,3)?
4. what is the equation of a line through (7,-3) and perpendicular to the line whose inclination is Arctan 2/3.
5. show that lines 2x + 3Y - 2 =0, 3X - 2Y + 23 =0 and X - 5Y = 12 = 0 are the sides of an isosceles triangle.