## A motorboat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream

A motorboat whose speed is 18 km/hr in still water takes 1 hr more to go 24 km upstream than to return downstream to the same spot. Find the speed of stream. Speed of Motorboat in still water= 18km/hr Speed Read More …

## Two pipes running together can fill a tank in 6 minutes. If one pipe takes 5 minutes more than the

Two pipes running together can fill a tank in 6 minutes. If one pipe takes 5 minutes more than the Other to fill the tank, find the time in which each pipe would fill the tank separately. solution : Let Read More …

## Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboid pond which is 50 m long and 44 m wide.

Water is flowing at the rate of 15 km/hour through a pipe of diameter 14 cm into a cuboid pond which is 50 m long and 44 m wide. In what time will the level of water in pond rise Read More …

## A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts

A metallic right circular cone 20 cm high and whose vertical angle is 60° is cut into two parts at the middle of its height by a plane parallel to its base. If the frustum so obtained be drawn into Read More …

## A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 cm, respectively.

A container, opened from the top and made up of a metal sheet, is in the form of a frustum of a cone of height 16 cm with radii of its lower and upper ends as 8 cm and 20 Read More …

## A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig. 13.24). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height is 15 cm, find the area of material used for making it.

A fez, the cap used by the Turks, is shaped like the frustum of a cone (see Fig. 13.24). If its radius on the open side is 10 cm, radius at the upper base is 4 cm and its slant height Read More …

## The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

The slant height of a frustum of a cone is 4 cm and the perimeters (circumference) of its circular ends are 18 cm and 6 cm. Find the curved surface area of the frustum.

## A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

A drinking glass is in the shape of a frustum of a cone of height 14 cm. The diameters of its two circular ends are 4 cm and 2 cm. Find the capacity of the glass.

## Prove that the centre of a circle touching two intersecting lines lies on the angles biscetor of the lines.

Let l1 and l2 be two intersecting lines. Suppose a circle with centre O touches the lines l1 and l2 at M and N respectively. ∴ OM = ON (Radius of the same circle) ⇒ O is equidistant forml1 and Read More …

## The perpendicular from A on side BC of a triangle ABC intersects BC at D such that DB = 3 CD

The perpendicular from A on side BC of a triangle ABC intersects BC at D such that DB = 3 CD  Prove that 2 AB² = 2 AC² + BC²

## In an equilateral triangle ABC, D is a point on side BC such that BD=1/3 BC P.T 9AD² = 7 AB²

In an equilateral triangle ABC, D is a point on side BC such that BD=1/3 BC P.T 9AD² = 7 AB²

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