Board Paper of Class 12Science 2013 Maths (SET 2)  Solutions
i. All questions are compulsory.
ii. The question paper consists of 29 questions divided into three sections A, B and C. Section A comprises of 10 questions of one mark each, Section B comprises of 12 questions of four marks each, and Section C comprises of 7 questions of six marks each.
iii. All questions in section A are to be answered in one word, one sentence or as per the exact requirements of the question.
iv. There is no overall choice. However, internal choice has been provided in 4 questions of four marks each and 2 questions of six marks each. You have to attempt only one of the alternatives in all such questions.
v. Use of calculators is not permitted.
 Question 1
If , then find the matrix A.
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 Question 2
If , then write the value of x.
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 Question 3
Find the value of b if
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 Question 4
Write the value of.
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 Question 5
Write the principal value of.
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 Question 6
The amount of pollution content added in air in a city due to xdiesel vehicles is given by P(x) = 0.005x^{3} + 0.02x^{2} + 30x. Find the marginal increase in pollution content when 3 diesel vehicles are added and write which value is indicated in the above question.
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 Question 7
Find the Cartesian equation of the line which passes through the point (−2, 4, −5) and is parallel to the line.
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 Question 8
If a unit vector makes angles with, with and acute angles θ with, then find the value of θ.
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 Question 9
Write the degree of the differential equation.
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 Question 10

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