An ellipse passes through the points `(-3, 1) & (2,-2)` & its principal axis are along the coordinate axes in order. Find its equation.

A straigh line passes through the point (2,3) and is such that the sum of its intercepts on the coordinate axes is 10. Find the equation of the straight line.

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

An ellipse passes through the point (2,3) and its axes along the coordinate axes, 3x +2y -1 = 0 is a tangent to the ellipse, then the equation of the ellipse is

Find the equation of an ellipse which passes through the point (-2, 2), (3,-1) and the major and minor axes as the axes of co¬ ordinate. Find its eccentricity.

Find the equation of the parabola passing through the points (3,0), (-3,0) , (2,5) and having its axis parallel to the y - axis find the coordinates of its vertex .

Find the equation of the plane passing through the point (-2,1,-3) and making equal intercept on the coordinate axes

An ellipse passes through the point (4,-1) and touches the line x+4y-10=0. Find its equation if its axes coincide with the coordinate axes.