Find the equation of the ellipse passing through the point `(3, 2),` having centre at `(0,0)` and major axis on `y-` axis.

Find the equation of the line passing through the point (2, 2) and inclined to x-axis at 45^0 .

Find the equation of the parabola passing through (5, 2), having vertex at (0, 0) and symmetric about y-axis.

Find the equation of line passing through the point (2,6) and perpendicular to (i) X-"axis" (ii) Y-"axis"

Find the equation of the line passing through (-2,-3) and parallel to y-axis

Find the equation for the ellipse that satisfies the given conditions: Centre at (0,0), major axis on the yaxis and passes through the points (3,2) and (1,6) .

Find the equation of the circle which passes through the points (7, 0) , (0, sqrt(7)) and has its centre on the x-axis.

Find the equation of the ellipse passing through (6, 4), foci on y-axis, centre at the origin and having eccentricity 3/4 .