Fill in the blanks:
The equation of the ellipse having foci (0,1)(0,-1) and minor axis of length 1 is ………

Find the equation of the ellipse whose foci are (2,3),(-2,3) and whose semi-minor axes is sqrt5 .

Fill in the blanks : The direction cosines of the line joining points (1, 0, 0) and (0, 1, 1) are ……… .

Fill ups The equation of the plane containing the points (1,1,0),(1,0,1) and (0,0,1) is………………

Fill in the blanks: The equation of the tangent to the curve y = e^(2x) at the point (0,1) is__________.

Find the equation of the ellipse with vertices at (pm5,0) , foci at (pm4,0) and centre at (0,0).

Form the differential equation of the family of ellipses having foci on y-axis and centre at origin.

Find the equation of the ellipse satisfying the given condition : Ends of major axis (0,+- sqrt5) , ends of minor axis (+- 1,0) .