Regular coordinate axes

Rectangular coordinate axes

Find the equation of hyperbola: whose axes are coordinate axes and the distances of one of its vertices from the foci are 3 and 1

If vec a makes equal angles with the coordinate axes and has magnitude 3, find the angle between vec a and each of the three coordinate axes.

The side of a square ABCD is 'a' units A,B,C,D are in the anti-clockwise order AB and AD are coordinate axes. Then coordinates of C are

If the foci of an ellipse are (0,+-1) and the minor axis is of unit length,then find the equation of the ellipse.The axes of ellipse are the coordinate axes.

find the equation of an ellipse hose axes lie along coordinate axes and which passes through (4,3) and (-1,4)

If the straight line ax+by+c=0 make a triangle of constant area with coordinate axes, then

a pair of lines passing through the point (3,d) and parallel to coordinate axes