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Grade Subject :X Date : Mathematics : 24/09/2018 Duration : 2 hrs 30 min Maximum Marks J( BILLABONG1:>CllHIGH ........TUUI Thane (W) : 80 First Terminal Examination Answers to this paptr must be written on the paper provided separately. You will not be allowed to write during the first 15 minutes. This time is to be spent in reading the Question p&per. The time given at the head of this paper is the time ~llowed for writing the answers. Section I is compulsory. Attempt any four questions from section II. The intended marks for questions ur parts of question are in brackets l ].Mathematical tables will be provided. SECTION A (40 Marks) Attempt all questions from this section. Quest;on 1 a. Two coins are tossed simultaneously. Describe the sample space S. Find the probability cf getting (i)at least one head (ii) at most one head (iii) exactly one head [3] b. Is 56 a term of the A.P. 7, 10, 13, 16, 19 ............ ? Prove it [3] c. Draw a circle of radius 3.2 cm . Draw two tangents to it inclined at 2n angle Clf 60 with each other. [4] Q\ies\i~n2 a. Let M be a matrix such that M x [~ ~] = [4 -7] (i) State the order of M (ii) find M [3] b. In what ratio is the segment joining the points A(6,5) and B(-3, 2) divided by the y-axis? Find the point at which the y-c1xis cuts Ab. [3] c. A model of a ship is made to a scale of 1: 200. [4) (i) If the length of the model is 4m, calculate the length of the ship. (ii) If the area of the deck of the ship is 160000m2, find the area of the deck of the model (iii) If the volume of the model is 200 litres, calculate the volume of the ship in cubic metres Question3 a. Solve : 2x + 7 = x + 2 [3] b. In the given figure, PB and QA are perpendiculars to the line segment AB. If PO = 6cm, QO = 9cm and the aiea of!). POB = 120cm 2, find the area of !). QOA [3]
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