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

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

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.

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