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Maths Class X 1996(CBSE)
You are on Set no II Qno. 1 to 30
Time allowed : 3 hours
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) Find the value of k for which the system of equations
has a unique solution :
x - ky = 2
3x + 2y = - 5 (Marks
2)
Q3) Evaluate : 2(tan 53o/cot 37o) -
(cot 80o/tan 10o) (Marks 2)
Q7)
Determine the values of K such that the equation
Kx2 - 5x + K = 0 has equal roots. (Marks
2)
Q9) Prove that
sin  /(1 - cos ) = cosec + cot (Marks 2)
Q10)
In Fig. 1,  ABC and DEF are similar, BC = 3 cm, EF = 4 cm and
area of ABC = 54 sq.cm.
Determine the area of DEF.
(Marks 2)
 
Q19)
A spherical cannon ball, 28 cm in diameter is melted and cast
into a right circular conical mould, the base of which is 35 cm in
diameter. Find the height of the cone, correct to one place of
decimal. (Marks 4)
Q20) Five years hence,
father's age will be three times the age of his son. Five years ago father
was seven times as old as his son. Find there present ages. (Marks
4)
Q21)
Find the mean of the
following data: (Marks 4)
| Class
interval |
Frequency |
| 0 - 8 |
6 |
| 8 -
16 |
7 |
| 16 -
24 |
10 |
| 24 -
32 |
8 |
| 32 -
40 |
9 |
Q26) Solve for x :
4(x2 + 1/x2) - 8(x +
1/x) + 3 = 0 (Marks 6)
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