Question 8

8. Solve the following system of equations graphically:

Question 9

9. Simplify:

Question 10

10. Which term of the A.P.  will be 132 more than its  term?

Question 11

11. In fig. 2, TA is a tangent to the circle from a point T and TBC is a secant to  the circle. If AD is the bisector of   prove that ∆ADT  is isosceles. 

              Fig.2

Question 12

12. Draw a ∆PQR with base  vertical angle  and median through P to the base is of length 4.5 cm.

Question 13

13. A toy is in the form of a cone mounted on a hemisphere of common base radius 7 cm. The total height of the toy is 31 cm. Find the total surface  

area of the toy.

Question 14

14. The enrolment of a secondary school in different classes is given below.

Question 15

15. A bag contains 5 red balls and some blue balls. If the probability of  drawing a blue ball from the bag is thrice that of a red ball, find the number of blue balls in the bag.

Question 16

16. Prove that:

Question 17

17. Show that the points  are the vertices of an  isosceles right triangle.

Question 18

 18. In what ratio does the line  divides
the line segment joining  and

Question 19

19. A man borrows money from a finance company and has to pay it back in two equal half-yearly installments of Rs. 7,396 each. If the interest is charged by the finance company at the rate of 15% per annum, compounded semi-annually, find the principal and the total interest paid.