# ISC Question Paper XII (Commerce & Science Group) – 2009

May 19th, 2015
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General Instruction: (i). Candidates are allowed additional 15 minutes for only reading the paper. (ii). They must NOT start writing during this time (iii). Section A – Answer Question 1 (compulsory) and five other questions. Section B and Section C – Answer two questions from either Section B or Section C.

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MATHEMATICS ISC Question Paper XII (Commerce & Science Group) 2009General Instruction: (i). Candidates are allowed additional 15 minutes for only reading the paper. (ii). They must NOT start writing during this time(iii). Section A Answer Question 1 (compulsory) and five other questions. Section B and Section C Answer two questions from either Section B or Section C. (iv). All working, including rough work, should be done on the same sheet as, and adjacent to, the rest of the answers. (v). The intended marks for questions or parts of questions are given in brackets []. Mathematical tables and squared paper are provided. Slide rule may be used. SECTION AQ1.(i). If , Show that M(x) + M(y) = M(x+y).(ii). The lines x- 2y + 6 = 0 and 2x y 10 = 0 intersect at the point A. Find the equation of the line making an angle 45 degree with the positive direction of the x-axis and passing through the point A.(iii). Find the equations of the tangents to parabola from the point (3, 8).(iv). Find the derivative of sin with respect to .(v). Evaluate the following integral : .(vi). Evaluate the following limit : .(vii). Two horses are considered for a race. The probability of selection of the first horse is 1/4 and that of the second is 1/3. What is the probability that : (a) both of them will be selected (b) only one of them will be selected (c) none of them will be selected.(viii) The mean weight of 70 stude

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