Board Paper of Class 12Humanities 2011 Maths (SET 3)  Solutions
General Instructions:
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.
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
Write the value of
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 Question 2
Write the value of
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 Question 3
State the reason for the relation R in the set {1, 2, 3} given by R = {(1, 2), (2, 1)} not to be transitive.
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 Question 4
For a 2 × 2 matrix, A = [a_{ij}] whose elements are given by , write the value of a_{12}.
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 Question 5
For what value of x, the matrix is singular?
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 Question 6
Write A^{−1} for
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 Question 7
Write the value of
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 Question 8
For what value of ‘a’ the vectors and are collinear?
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 Question 9
Write the direction cosines of the vector
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 Question 10
Write the intercept cut off by the plane 2x + y − z = 5 on xaxis.
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