Find the equation of the ellipse which passes through (-3,1) and has eccentricity `sqrt((2)/(5))`, with x-axis as its major axis and centre at the origin.

Find the equation of the straight line, which passes through (2,2) and is inclined to x-axis at 45^@ .

Find the equation of sphere which passes through (1, 0, 0) and has its centre on the positive direction of Y-axis and has radius 2.

Find the differntial equation of all circles which pass through the origin and whose centres lie on x-axis.

Find the equation of the straight line which passes through the point (2,-3) and is (i) parallel to the X-axis , perpendicular to the X - axis

Find the equation of the circle, which passes through the points (2, - 3) and (3, - 2) and has its centre on the line 2x-3y = 8.

Find the equation of a line parallel to x-axis and passing through the origin.

Show that the st. line, which passes through the point (4,12) and makes an angle tan^(-1)3 with the x-axis passes through the origin.

Find the equations of the ellipse whose length of the major axis is 20 and foci are (0,pm5) .

Find the equation of an ellipse whose axes lie along the coordinate axes, which passes through the point (-3,1) and has eccentricity equal to sqrt(2//5)dot