|
Maths Class X 1997(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.
Q5) If -4 is a root of the quadratic equation x2 + px -
4 = 0 and the quadratic equation x2 + px + k = 0 has equal
roots, find the value of k. (Marks 2)
Q6) Reduce the following to the lowest terms :
((x - 1)(x -
2)(x2 - x - 72))/((x - 9)(x2 + x - 2))
(Marks 2)
Q11) If the mean of the following distribution is 6, find the value
of p : (Marks 2)
| x |
2 |
4 |
6 |
10 |
p +
5 |
| y |
3 |
2 |
3 |
1 |
2 |
Q12) Show that
(sin  + cosec )2 + (cos + sec )2 = 7 +
tan2 + cot2 (Marks 2)
Q16)
A shopkeeper buys a number of books for Rs. 80. If he had
bought 4 more books for the same amount, each book would have cost him Rs.
1 less. How many books did he buy? (Marks 4)
Q17)
A vessel, in the form of a hemispherical bowl, is ful of water.
Its contents are emptied in a right circular cylinder. The internal radii
of the bowl and the cylinder are 3.5 cm and 7 cm respectively. Find the
height to which water will rise in the cylinder. (Marks
4)
Q27) Solve for x :
(x2 + 3x)2 -
(x2 + 3x) - 6 = 0: x R (Marks 6)
|
