Given: The vertices of triangle ABC are: \[A\text{ }\left( -1,\text{ }-2 \right),\text{ }B\left( 0,\text{ }1 \right)\text{ }and\text{ }C\left( 2,\text{ }0 \right).\] Let us find the equation of...
Find the equations to the diagonals of the rectangle the equations of whose sides are x = a, x = a’, y = b and y = b’.
Given: The rectangle formed by the lines, \[x\text{ }=\text{ }a,\text{ }x\text{ }=\text{ }a,\text{ }y\text{ }=\text{ }b\text{ }and\text{ }y\text{ }=\text{ }b\] It is clear that, the vertices of the...
Find the equations of the medians of a triangle, the coordinates of whose vertices are (-1, 6), (-3,-9) and (5, -8).
\[A\text{ }\left( -1,\text{ }6 \right),\text{ }B\text{ }\left( -3,\text{ }-9 \right)\text{ }and\text{ }C\text{ }\left( 5,\text{ }-8 \right)\] be the coordinates of the given triangle. Let: D, E, and...
Find the equations to the sides of the triangles the coordinates of whose angular points are respectively: (i) (1, 4), (2, -3) and (-1, -2) (ii) (0, 1), (2, 0) and (-1, -2)
\[~\left( \mathbf{i} \right)~\left( 1,\text{ }4 \right),\text{ }\left( 2,\text{ }-3 \right)\text{ }and\text{ }\left( -1,\text{ }-2 \right)\] Given: Points A (1, 4), B (2, -3) and C (-1, -2). Let ,...
Find the equation of the straight lines passing through the following pair of points: (i) (0, 0) and (2, -2) (ii) (a, b) and (a + c sin α, b + c cos α)
\[\left( i \right)\text{ }\left( 0,\text{ }0 \right)\text{ }and\text{ }\left( 2,\text{ }-2 \right)\] Given: \[\left( {{x}_{1}},\text{ }{{y}_{1}} \right)\text{ }=\text{ }\left( 0,\text{ }0...