Suppose you drop a die at random on the rectangular region shown in Fig.15.6.What is the probability that it will Iand,inside the circle with diameter 1 m?

Gopi buys a fish from a shop for his aquarium. The shopheeper takes out one fish at random from a tank containing 5 male fish and 8 female fish (see Fig. 15.4). What is the probability that the fish taken out is a male fish?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 (see Fig. 15.5), and these are equally likely out comes. What is the probability that it will point at (iv) a number less than 9?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 (see Fig. 15.5), and these are equally likely out comes. What is the probability that it will point at (iii) a number greater than 2?

A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers 1,2,3,4,5,6,7,8 (see Fig. 15.5), and these are equally likely out comes. What is the probability that it will point at (ii) an odd number?

A-stone of mass 0.25 kg tied to the end of a string is whirled round in a circle of radius 1.5 m with a speed of 40 rev./min in a horizontal plane. What is the tension in the string? What is the maximum speed with which the stone can be whirled around if the string can withstand a maximum tension of 200. N?

In Fig 12,PS is a diameter of a circle whose radius is 6 cm.Two points Q and R are taken on PS such that PQ=QR=RS.Two semicircles are drawn with PQ and QS as their respective diameters as shown in the figure.Find the perimeter and the area of the shaded region shown in figure. (pi=3.14)

In figure 12 PS is a diameter of a circle whose radius is 6cm . Two pint Q and R are taken on PS such that PQ= QR = RS . Two Semi-circles are drawn with PQ and QS as their respective diameters as shown in the figure. find the perimeter and the area of the shaded region shown in figure. (Take pi=3.14 )

A spiral is made up of successive semicircles,with centers alternately at A and B,starting with centre at A,of radio 0.5 cm,1.0 cm,1.5 cm,2.0 cm,….as shown in fig.What is the total length of such a spiral made up of thirteen consecutive semicircles (Take pi=22/7 )

The focal lenghts of objectives and eyepiece of a telescope are 200cm and 10 cm respectively. Is is used to get an image of the Sun on a screen placed 40cm behind the eyepiece. The diameter of the image is 6cm. What is the diameter of the Sun? Give the distance from earth to the Sun is 1.5xx10^(11)m .

The Class X students of a secondary school in Krishinagar have been allotted a rectangular plot of land for their gardening activity.Sapling of Gulmohar are planted on the boundary at a distance of 1 m from each other.There is a triangular grassy lawn in the plot as shown in the Fig.7.14.The students are to sow seeds of flowering plants on the plot. (ii) What will be the coordinates of the vertices of trianglePQR if C is the origin?