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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 trigonometric tables is permitted. Use of calculator
is not permitted.
Q1) Find the value of
such that the quadratic equation
( - 3)x2 + 4(
- 3)x + 4 = 0 has equal roots. (Marks 2)
Q2) The GCD and LCM of two
polynomials P(x) and Q(x) are x(x + a) and 12x2(x - a)(x2
- a2) respectively. If P(x) = 4x2(x + a), find Q(x) (Marks
2)
Q5) The sales price of a
washing machine, inclusive of sales tax, is Rs. 26,160. If sales tax is charged
at the rate of 9% of the list price, find the list price of the washing machine.
(Marks 2)
Q9) Without using
trigonometric tables, evaluate
2(sin 43o/cos 47o) - (cot 30o/tan 60o)
- 2 sin 45o (Marks
2)
Q10) The mean of n
observations
x1, x2, x3, ..., xn is .
If each observation is multiplied by p, prove that the mean of the new
observation is p (Marks
2)
Q11) The median of following
observations, arranged in ascending order, is 25. Find x.
11, 13, 15, 19, x + 2, x + 4, 30, 35, 39, 46 (Marks 2)
Q16) Factorise - Omitted being out of Syllabus. (Marks 4)
Q18) In a flight of 3000 km,
an aircraft was slowed down due to bad weather. Its average speed for the trip
was reduced by 100 km/hour and time increased by one hour, find the original
duration of flight. (Marks 4)
Q22) In Fig, 5. ABD
= CDB =
PQB = 90o. If AB = x units, CD = y units and PQ = z units, prove that
1/x + 1/y = 1/z (Marks 4)
Q27) Solve for x :
(x2 - 25) - (x - 5) = (x2
- 16x + 55) (Marks 6)