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 for the ellipse that satisfies the given conditions:Centre at (0, 0), major axis on the y–axis 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 line passing through the point (2,6) and perpendicular to (i) X-"axis" (ii) Y-"axis"

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

Find the equation of a line passing through (1,2) and making angle of 30^0 with y-axis

Find the equation of the parabola with vertex (0,0), passing through the point (4,5) and symmetric about the x - axis.

Find the equation of circle of radius 3, passing through the origin and having its centre on the x-axis.

Find the equation of the straight line which passes through the point (2, 3) and whose intercept on the x-axis is double that on the y-axis.