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 is the HCF of x3 – 5x2 + 6x and x2 + 4x - 12, then find the value of q.
Q. 3. For what value of n is the term of the nth term of the following two APs the same:
(a) 1, 7, 13, 19, (b) 69, 68, 67,
Q. 4. Find the sum of all 3-digit natural numbers which are divisible by 13.
Q. 11. Solve the following system of linear equations graphically:
4x – y = 4 and 3x + 2y = 14
Shade the region bounded by the lines and y-axis.
Q. 15. If the mean of the following distribution is 50, find the value of f1:
| Classes | 0 -20 |
20 - 40 |
40 - 60 |
60 -80 |
80 - 100 |
| Frequency | 17 |
28 |
32 |
f1 |
19 |
Q. 16. The sources of earning of an Airline are given below. Represent it by a pie chart.
| Sources | Earning (In crore Rs.) |
| Passengers Freight Commission |
112.5 30 22.5 15 |
Q. 23. If a line is drawn parallel to one side of a triangle, prove that the other two sides are divided in the same ratio.
Using the above, do the A following:
In Figure 3, DE is parallel 2.5 cm 3.75 cm to base BC. If AD = 2.5 cm, BD = 3.0 cm and AE = 3.75 cm, find the length of AC.
