Two chords AB and PQ of a circle intersect at D inside a circle. If AD = 4 cm, DB = 6 cm, QD = 3 cm, the length of PQ is equal to1). 11 cm 2). 8 cm3). 9cm4). 10 cm
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1. A right prism has a triangular base whose sides are 13 cm, 20 cm and 21 cm. If the altitude of the prism is 9 cm, then its volume is
2. The ratio of length and breadth of a cuboid is 5 : 4. The ratio of breadth and height of this cuboid is 3 : 2. The volume of cuboid is 1440 cubic cm. Find its total surface area (in square cm).
3. Triangle $\triangle XYZ$ is similar to $\triangle PQR$. If XY:PQ=5:1. If Area of $\triangle PQR$ is 5 sq cm, what is the area (in sq cm) of $\triangle XYZ$?
4. A circle is inscribed in a square. If the length of the diagonal of the square is 14√2 cm, what is the area (in sq cm) of the circle?
5. A cylinder has 'r' as the radius of the base and 'h' as the height. The radius of base of another cylinder, having double the volume but the same height as that of the first cylinder must be equal to
6. If the perimeter of a right-angled triangle is 56 cm and area of the triangle is 84 sq. cm. then the length of the hypotenuse is (in cm)
7. What is the area of a triangle having parameter 64 cm, one side is 22 cm and difference of other two sides is 10 cm?
8. There are two semicircles and the ratio of their areas is 19 : 81. What is the ratio of their perimeters?
9. Find the curved surface area (in cm2) of a right circular cylinder of diameter 21 cm and height 10 cm.
10. 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 H is the height of the cone, then :
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