Question

Q8.The cost of fencing a circular field at the rate of Rs.24 per metre is Rs. 5280.

Find the radius of the field.



Q9. A tree breaks due to storm and the broken part bends so that the top of the

tree touches the ground where it makes an angle 30° . The distance between

the foot of the tree to the point where the top touches the ground is 8m. Find

the height of the tree from where it is broken.



Q10.If the perimeter and the area of a circle are numerically equal, then find the

radius of the circle



Q11. Write the empirical relationship among mean, median and mode. 1

12 To divide a line segment BC internally in the ratio 3 : 5, we draw a ray BX

such that ∠CBX is an acute angle. What will be the minimum number of points

to be located at equal distances, on ray BX?



Q13. For what values of p does the pair of equations 4x + p y +8 =0 and 2x +2y +2

=0 has unique solution?

OR

What type of straight lines will be represented by the system of equations 2x +

3y =5 and 4x + 6y = 7 ?



Q14. A bag contains 3 red balls and 5 black balls. A ball is drawn at random from

the bag. What is the probability that the ball drawn is red?

OR

A die is thrown once. What is the probability of getting a prime number?​

Answer 1

Answer 8

•Area of circle:

Total cost/Cost of fencing per metre

₹5280/₹24

220 metre

•Radius of circle:

2πr=220 metre

2r=220×7/22 metre=70 metre

r=70/2 metre=35 metre

Answer 10

•Perimeter of circle=Area of circle

2πr=πr²

r=2

Answer 14

(a) 3

(b) 3

Answer 9

This is a Geometric question.

First you make a line segment of 8 m named BC. Then make an angle of 30° at C with your compass. And an angle of 90° at B with your compass.

At the point where the edges of both the angle intersect, name that point as A.

Now you can easily know the height of the tree from where it is broken which is AB in your drawn figure.

Answer 2

This to answer to your Question Q8 Q9 Q10