# CBSE XIIth Mathematics Board Exam 2011

SET-A

Q1. If a matrix has 5 elements, write all possible orders it can have.

Q2. Write the direction-cosines of the line joining the points (1, 0, 0) and (0, 1, 1). ?

Q3. Using vectors, find the area of the triangle with vertices A(1, 1, 2), B(2, 3, 5) and C(l, 5, 5). ?

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SET-B

Q1. Form the differential equation of the family of parabolas having vertex at the origin and axis along positive y-axis.

Q2. Show that of all the rectangles with a given perimeter, the square has the largest area.

Q3. State the reason for relation R in the set {1, 2, 3} given by R ={(1,2), (2,1)} not to be transitive.

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SET-C

Q1. Write the principal value of tan-1(-1).

Q2. What are the direction cosines of a line, Which makes equal angle with the co-ordinate axes ?

Q3. Find the mean number of heads in three tosses of a fair coin.

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## CBSE Class XII Sample Papers

 Accountancy -2011 Accounting for Business II – 2011 Biology -2011 Biotechnology -2011 Business Studies -2011 Chemistry -2011 Computer Science -2011 Economics -2011 English Core -2011 English Elective -2011 History -2011 Home Science -2011 Information Practices -2011 IT Systems -2011 Mathematics -2011 Microbiology – 2010 Physical Education -2011 Physics -2011 Political Science -2011 Sociology -2011 Psychology – 2010