O (0, 0), A (3, 5) and B (−5, −3) are the vertices of triangle OAB. Find the equation of median of triangle OAB through vertex O
(1, 5) and (-3, -1) are the co-ordinates of vertices A and C respectively of rhombus ABCD. Find
the equations of the diagonals AC and BD.
A line AB meets the x-axis at point A and y-axis at point B. The point P(−4, −2) divides the line segment AB internally such that AP : PB = 1 : 2, Find:
(i) the co-ordinates of A and B
(ii) equation of line through P and perpendicular to AB.
A line through origin meets the line x = 3y + 2 at right angles at point X. Find the co-ordinates of X.
O (0, 0), A (3, 5) and B (−5, −3) are the vertices of triangle OAB. Find the equation of altitude of triangle OAB through vertex B.
P(3, 4), Q(7, -2) and R(-2, -1) are the vertices of triangle PQR. Write down the equation of the median of the triangle through R.
Show that A(3, 2), B (6, −2) and C (2, −5) can be the vertices of a square.
(i) Find the co-ordinates of its fourth vertex D, if ABCD is a square
(ii) Without using the co-ordinates of vertex D, find the equation of side AD of the square and
also the equation of diagonal BD.