4. 5. 4 a. Apply Your Understanding b. a b C d. e. If the distance between the points P(5, 2) and Q(x,-2) is 5 units. Find the value of x. Find the co-ordinate of a point on Y-axis which is at a distance of 17 units C from the point (-8,3). Find the co-ordinate of a point on X-axis which is at a distance of 5 units from the point (2-3) d 4 Show that the points (- 6, 2), (1, 7) and (6, 3) are the vertices of 4 scalene triangle. Show that the points (4, 5), (5,-2) and (1, 1) are the vertices of an isosceles triangle. Show that the points (1, 1), (-1,-1) and (-√3. √3) are the vertices of an equilateral triangle Prove that the points (2,4), (6,4), and (6, 7) form a right angled triangle. Prove that the points (1, 0), (2, 1) and (3, 0) are the vertices of right angled isosceles triangle. Also calculate its area. Show that the points (1, 1), (5, 1), (6, 3) and (2, 3) are vertices of a parallelogram. Prove that the points (4, 6), (-1, 5). (-2, 0) and (3, 1) are the vertices of a rhombus Show that the points (2-2). (8, 4), (5.7) and (-1, 1) are the vertices of a rectangle. Also find its area. Prove that the points (5, 3), (1, 2), (2-2) and (6, -1) are the vertices of a square Find the point which is equidistant from the points (-4,7), (4, 7) and (4, 1). Find the point equidistant from the points (-6, 0), (-3, 1) and (0, 0). Find the circumcenter of the circle circumscribing the triangle) vertices (2, 2), (6, 6) and (5,7). Find the center of the circle circumscribing th (-1, 0), (0.9) and (3,0) L Show that the

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A:

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A: