NDA || Mathematics || Coordinate Geometry || Quiz 2020

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 circle, the coordinates of the end points of one of those diameters are A (p, q) and B (r, s)

A 7cm cube is cut into as many 1cm cubes as possible. What is the ratio of the surface area of the larger cube to that of the sum of the surface areas of the smaller cubes?

Find the eccentricity of the hyperbola 9y² – 4x² = 36

If the lines x + y – 1 = 0 touches the parabola y² = kx, then the value of k

A cone of radius r cm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?

If the sum of the measure of the interior angle of polygon is 3420, find the number of sides of the polygon.

A single solid sphere is formed by melting a metallic spheres of radii 6cm, 8cm and 10cm respectively, then what will be the radius of the resulting sphere.

The length of the major axis of an ellipse is 20 units, and its foci are (±5, 0). Find the equation of the ellipse.