BLUE PRINT - III MATHEMATICS - XII
VSA 1 (1) 1 (1) 4 (1) 4 (1) 10 (4) SA LA TOTAL
S.No.
Topic
1. (a)
Relations and Functions
(b)
Inverse trigonometric
Functions 2 (2) 1 (1) 2 (2) 4 (1) 8 (2) 3 (3) 10 (10) 4 (1) 4 (1) 4 (1) 48 (12) 6 (1) 6 (1) 6 (1) 42 (7) 17 (6) 6 (1) 10 (2) 100 (29) 12 (3) 4 (1) }18 (4) 6 (1) 6 (1) 6 (1) }18 (5) 8 (2) 44 (11) 6 (1) 13 (5)
2. (a)
Matrices
(b)
Determinants
3. (a)
Continuity and
Differentiability
(55)
(b)
Applications of Derivatives
(c)
Integrals
(d)
Applications of Integrals
(e)
Differential equations
4. (a)
Vectors
(b)
3 - dimensional geometry
5.
Linear - Programming
6.
Probability
Total
Sample Question Paper - III
Time : 3 Hours General Instructions : 1. All questions are compulsory. 2. The question paper consists of 29 questions divided into three sections A, B and C. Section A contains 10 questions of 1 mark each, section B is of 12 questions of 4 marks each and section C is of 7 questions of 6 marks each. There is no overall choice. However, an internal choice has been provided in four questions of 4 marks each and two questions of six marks each. Use of calculators is not permitted. However, you may ask for Mathematical tables. SECTION - A 1. 2. 3. 4. 5. Let → R be a function defined as f (x ) = Max. Marks : 100
3.
4.
2x , find f–1 : Range of 5x + 3
Write the range of one branch of sin–1x, other than the Principal Branch. If , find x, 0 < x <
π when A + A´ = I 2
If B is a skew symmetric matrix, write whether the matrix (ABA´) is symmetric or skew symmetric. On expanding by first row, the value of a third order determinant is a11 A11 + a12 A12 + a13 A13. Write the expression for its value on expanding by 2nd column. Where A ij is the cofactor of element a ij .
6.
Write a value of
7.
Write the value of
→ →
8.
Let a and b be two vectors such that a = 3 and b =
→ →
→
→
2 and a x b...