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Maths Class X 1996(CBSE)
You are on Set no III Qno. 1 to 30
Time allowed : 3 hour
Maximum Marks :
100
General Instructions :
(i) Question number 1 to 15 carry
2 marks each.
(ii) Question number 16 to 25 carry 4 marks
each.
(iii) Question number 26 to 30 carry 6 marks each.
(iv) Write
the serial number of the question before attempting it.
(v) Use of
logarithmic and trignometric tables is permitted. Use of calculator is not
permitted.
Q1) Determine the values of k for which the system of
equations have infinite
4x + y = 3, 8x + 2y = 5k (Marks
2)
Q3) If  and  are the roots of the equation
x2 - px + q = 0, find the value of 2 + 2. (Marks 2)
Q7)
Evaluate : tan 35o/cot 55o + cot
78o/tan 12o - 1 (Marks 2)
Q13)
In Fig. 2, AD is the bisector of  A. If BD = 4 cm, DC = 3 cm and AB = 6 cm,
determine AC. (Marks 2)
Q17)
How many spherical lead shots each 4.2 cm in diameter can be
obtained from a rectangular solid of lead with dimensions 66 cm, 42 cm, 21
cm. (Use  = 22/7) (Marks
4)
Q21) A father is three times
as old as his son. In 12 years time, he will be twice as old as his son.
Find the present ages of father and the son. (Marks 4)
Q23) Find the mean of the following data:
(Marks 4)
| Class
interval |
Frequency |
| 0 -
6 |
7 |
| 6 -
12 |
5 |
| 12 -
18 |
10 |
| 18 -
24 |
12 |
| 24 -
30 |
6 |
Q26)
Solve for x
:
9(x2 + 1/x2) - 9(x + 1/x) - 52 = 0 (Marks 6)
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