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Maths Class X (CBSE)
You are on Set no II Qno. 1 to 30
(Only those questions have been given, which are different from Set I)
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)