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.

If veca makes equal angles with the coordinate axes and has magnitude 3,find the angle between veca 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 of unit length, then find the equation of the ellipse. The axes of ellipe are the coordinate axes.

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

If lines are drawn from the point (-5, 3) to the coordinate axes then area of quadrilateral formed by these lines with coordinate axes is