# Constitution Of India Essay

1132 words - 5 pages

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Sample Paper
Class - X Subject - Mathematics
Question 1
(a) If both ( x -2 ) and (x - ½ ) are factors of px2 + 5x + r , show that p = r.[3]
(b) E and F are the points in the sides DC and AB respectively of the parralelogram ABCD. If the diagonal AC and segment EF intersect at G; Prove that AG . EG = FG . CG. [3]
(c) The population of a town increases by 5% every year. What was the population in 2002,if in 2005 it was 1,85,000? [4]
Question 2
(a) The point (x,y) is first reflected in the x axis and then reflected in the origin to P'. If P'has co-ordinate (-8,5);evaluate 'x' and 'y'. [3]
(b) Two parallel tangents of a circle meet a third tangent at point P and Q.Prove that PQ subtends a right angle at a centre. [3]
(c) Calculate the area and the perimeter of the remaining, after four quadrants each of radius 4 cm are cut from the four corners of a rectangle measures 18 cm by 10 cm. [4]
Question 3
(a) Solve for x ad y , if  49 83 yx = 8 2 [3]
SECTION A

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(b) Construct an isosceles right angled triangle having hypotenuse = 6.0 cm.Draw its lines of symmetry. [3]
(c) Solve and graph ; 2x - 3 < x + 2  3 x + 5 ; x  R. [4] Question 4 (a) Without using trigonometric table show that Sin 42 sec 48 + cos 42 cosec 48 = 2 [3]
(b) Mrs Mathew opened a Recurring Deposit Account in a certain bank and deposited Rs. 640 per month for four and half years. Find the maturity value of this account, if the bank pays interest at the rate of 12%per annum. [3]
(c) The total number of observations in the following distributions table is 120 and their mean is 50. find the values of missing frequencies of f1 and f2 [4]
Class interval 0 - 20 20 - 40 40 - 60 60 - 80 80 - 100 Frequency 17 f1 32 f2 19 Question 5
(a) A hotel bill for a number of people for overnight stay is Rs. 4800 ; if there were 4 people more , the bill each person had to pay would have reduced by Rs. 200 . Find the number of people staying overnight. [3]
(b) Spherical marbles of diameter 1.4 cm are dropped into beaker containing some water and are fully submerged. The diameter of the beaker is 7 cm.
SECTION B

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Find how many marbles have been dropped in it if the water rises by 5.6 cm. [4]
(c) Which is better investment : 12% at 120 or 8% at 90? (3) Question 6 (a) Through the mid...

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