Write the co-ordinates of a point in each of the quadrants.

(i) Write the co-ordinates of a point which is equidistant from the axes and lie on the third quadrant.

Determine the co-ordinates of the point intersection of the equation 2x+3y=12 on the x-axis.

Find the co-ordinates of the point of intersection of the equation 2x-3y=12 on the y-axis.

If a particle moves along the parabola y^2= 8x then the co-ordinates of the point on which the rate of change of abscissa is equal to the rate of change of ordinate, is

The co-ordinates of focus and its nearest vertex of an ellipse are (3, -5) and (4, -5) respectively and eccnetricity is 2/3 . Find the co ordinate of its centre and the co-ordinate of the point of contact of. the directrix and Major axis nearest to focus.

Find the co-ordinate of a point equidistance from the points' (0, 0. 0), (4, 0, 0), (0, -6. 0) and (0, 0, 8).

Find the co-ordinates of the point of trisection of the line segment joining the points (0, 2, 1) and (2, -1, 5) that is nearer to (0, 2, 1).

Draw the graph of the following simultaneous linear equations and determine the co-ordinates of the point of intersection of each of them. Also, find their solutions : (i) 3x-y=5,4x+3y=11

Draw the graph of the following simultaneous linear equations and determine the co-ordinates of the point of intersection of each of them. Also, find their solutions : (ii) 2x+3y=12,2x=3y .

(a) Determine the co-ordinates of the point on the straight line 2x-3y=12 whose abscissa is double of its ordinate.