Except for the following questions, all the remaining questions have been asked in Set I.
Q. 1. Express the following as a rational expression:
Q. 2. If (x - 2) is a factor of x3 + ax2 + bx + 16 and a - b = 6, find the value of a and b.
Q. 3. If the 8th term of an A.P. is 31 and the 15th term is 16 more than the 11th term, find the A.P.
Q. 4. Find the sum of the following:
25 + 28 + 31+ ...+ 100
Q. 11. Solve the following equations graphically:
3x + 2y — 4 = O and 2x – 3y – 7 = 0
Shade the region bounded by the lines and x-axis.
Q. 15. If the mean of the following distribution is 54, find the value of p:
| Classes | 0 -20 |
20 - 40 |
40 - 60 |
60 -80 |
80 - 100 |
| Frequency | 7 |
p |
10 |
9 |
13 |
Q. 16. Draw a pie chart for the following data of a Five Year Plan outlay of a State on different sectors of the economy:
| Sector | Expenditure (In crore Rs.)
|
| Agriculture Irrigation Energy Industry Communication |
500 600 700 400 200 |
Q. 23. Prove that the ratio of the areas of similar triangles is equal to the ratio of the squares on their corresponding sides.
Use the above in the following:
In Figure 3, D divides AB such that AD : DB = 3 : 2 and E is a point on BC such that DE || AC. Find the ratio of areas of 
and 
