Maths || Coordinate_Geometry || Conic Section || Quiz_2020

Find the equation of the parabola, which is symmetric about the y- axis and passes through the point P(2, -3).

A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 8 feet across its opening and 3 feet deep at its centre, at what position should the receiver be placed?

A pile of coal falls into the shape of a cone. If it is 3meters high and 8m in diameter, how many cubic meters of coal does it contain?

A regular hexagonal prism has its perimeter of bases as 144cm and height 120cm. It contains water up-to a height of 110cm. A spherical ball of diameter of 35cm is dropped into it due to which the level of water rises and some water flows out. Find the volume of water that flows out.

Find the equation of the ellipse the ends of whose major and minor axes are (±4, 0) and (0, ±3) respectively.

Find the coordinates of the foci of the following ellipse x² + 4y² = 100

Find the eccentricity of an ellipse 16x² + y² = 16.