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Coordinate Geometry
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Coordinate Geometry
Show that the points (6,6), (2,3) and (4,7) are the vertices of a right-angled triangle.
Solution
Prove that the points (4,3), (7,-1) and (9,3) are the vertices of an isoscales triangle.
Solution
Prove that the points (-2,-1), (1,0), (4,3) and (1,2) are the vertices of a parallelegram
Solution
Find the coordinates of the point which divides the points P(8,9), Q(-7, 4) internally in the ratio 2:3 and externally in the ratio 4:3
Solution
Find the ratio in which the point (11,-3) devides the join of points (3,4) and (7,11)
Solution
Prove that the quadrilateral with vertices (2, -1), (3,4), (-2, 3) and (-3, -2) is a rhombus.
Solution
Find the area of the triangle whose vertices are (2, 3), (5, 7), (-3, 4).
Solution
The vertices of a triange ABC are A(2, 3), B(5, 7) and C(-3, 4). D, E, F are respectively the midpoints of BC, CA and AB. Prove that
Solution
Prove that the triangel formed by the points A(8, -10), B(7, -3) and C(0, -4) is a right angled triangle.
Solution
Show that the points A(1, -1), B(-1, 1) and C(-√3, -√3) are the verticies of equilateral triangle
Solution
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