Board Paper of Class 12Science 2012 Maths All India(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
Find the distance of the plane 3x − 4y + 12z = 3 from the origin.
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 Question 2
Find the scalar components of the vector with initial point A (2, 1) and terminal point B (−5, 7).
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 Question 3
Find the principal value of .
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 Question 4
Write f(x) satisfying the above.
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 Question 5
Evaluate:
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 Question 6
Let A be a square matrix of order 3 × 3. Write the value of 2A, where A = 4.
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 Question 7
 Question 8
The binary operation *: R × R → R is defined as a * b = 2a + b. Find (2 * 3) * 4.
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 Question 9
Write the value of .
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 Question 10
Find the value of x + y from the following equation:
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