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DISTANCE BETWEEN TWO POINTS 1.Show that the points (2,-3), (5,0), (2,3) and (-1,0), are the vertices of a square. 2.The distance (x,1) is 2√5 units from (2,3). Find x. 3.What are the coordinates of the point 3 units from the y-axis and at distance √5 from (5,3)? EQUATIONS OF LINES 1.What is the equation of a line through (7,-3) and perpendicular to the line whose inclination is Arctan 2. 2.Show that lines 2x + 3y - 2 = 0, 3x - 2y + 23 = 0 and x - 5y + 12 = 0 are the sides of an isosceles triangle. 3.What is the equation of the line passing through (4, -7) and perpendicular to the line through (0, 1) and (3, -3). 4.Find the equations of the altitudes of the triangle with vertices at (1, -1), (5,2) and (-2,4). Where do they intersect?
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