Yuva Education - Maths Class X 1997

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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)

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