## Coplanarity of Two Lines in 3D Geometry

Given two lines L1 and L2, each passing through a point whose position vector are given as (X, Y, Z) and parallel to line whose… Read More »

Given two lines L1 and L2, each passing through a point whose position vector are given as (X, Y, Z) and parallel to line whose… Read More »

The radii of two cones are in the ratio 2:1, their volumes are equal. Find the ratio of their heights. (A) 1:8 (B) 1:4 (C)… Read More »

The volumes of two sphere are in the ratio of 64:27. The ratio of their surface areas is: (A) 1:2 (B) 2:3 (C) 9:16 (D)… Read More »

If three metallic spheres of radii 6 cm, 8 cm and 10 cm are melted to form a single sphere, the diameter of the new… Read More »

A solid piece of iron of dimensions 49 * 33 * 24 cm³ is molded into a sphere. The radius of the sphere is: (A)… Read More »

A cylindrical vessel of radius 4 cm contains water. A solid sphere of radius 3 cm is lowered into the water until it is completely… Read More »

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. The… Read More »

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. The… Read More »

A hemisphere and a cone have equal bases. If their heights are also equal, then the ratio of their curved surfaces will be: (A) 1:2… Read More »

A metallic hemisphere is melted and recast in the shape of a cone with the same base radius (R) as that of the hemisphere. If… Read More »

A hemispherical bowl is filled to the brim with a beverage. The contents of the bowl are transferred into a cylindrical vessel whose radius is… Read More »

A drum is full of water. Diameter of the drum is 35cm. The level of water will be dropped by how much, if 11 litres… Read More »

A cube with sides of 5 cm is painted on all its faces. If sliced in 1 cm cubes, how many 1 cm cubes will… Read More »

A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the original… Read More »

A sheet of paper in square shape is rolled along its length to make it a cylinder. What is the ratio of the base radius… Read More »