CBSE Question Paper 2014 class 12 Mathematics



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CBSE Question Paper 2014 class 12 Mathematics conducted by Central Board of Secondary Education, New Delhi in the month of March 2014. CBSE previous year question papers with solution are available in myCBSEguide mobile app and cbse guide website. The Best CBSE App for students and teachers is myCBSEguide which provides complete study material and practice papers to cbse schools in India and abroad.

CBSE Question Paper 2014 class 12 Mathematics 

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CBSE Question Paper 2014 class 12 Mathematics

Class 12 Mathematics list of chapters

  1. Relations and Functions
  2. Inverse Trigonometric Functions
  3. Matrices
  4. Determinants
  5. Continuity and Differentiability
  6. Application of Derivatives
  7. Integrals
  8. Application of Integrals
  9. Differential Equations
  10. Vector Algebra
  11. Three Dimensional Geometry
  12. Linear Programming
  13. Probability

CBSE Question Paper 2014 class 12 Mathematics

General Instruction:

  • All question are compulsory.
  • 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.
  • All questions in Section – A are to be answered in one word, one sentence or as per the exact requirement of the question.
  • 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.
  • Use of calculators is not permitted. You may ask for logarithmic tables, if required.

Section A

1. If A is a square matrix such that A2 = A, then write the value of 7A – (I + A)3, where I is an identity matrix.

 

2. If  find the value of x + y.

3. If tan-1 x + tan-1 xy < 1, then write the value of x + y + xy.

4. If  find the value of x.

5. If f(x) then write the value of f’(x).

6. Find the value of ‘p’ for which the vectors  and  are parallel.

7. If R = {(x, y) : x + 2y = 8} is a relation on N, write the range of R.

8. If the cartesian equations of a line are  write the vector equation for the line.

9. If  find the value of a.

10. If  and  are perpendicular vectors,  and  find the value of

 

SECTION – B

11. Solve the differential equation

 

12. Show that the four points A, B, C and D with position vectors  and  respectively are coplanar.

OR

The scalar product of the vector  with a unit vector along the sum of vectors

 and  is equal to one. Find the value of λλ and hence find the unit vector along

13. Evaluate:

OR

Evaluate:

14. Find the value(s) of x for which y = [x (x – 2)]2 is an increasing function.

OR

Find the equations of the tangent and normal to the curve  at the point

15. If the function f : R → R be given by f(x) = x2 + 2 and g : R → R be given by g(x)   x ≠ 1, find fog and gof and hence find fog (2) and gof (– 3).

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Mathematics Question Paper 2014 with solution

Download class 12 Mathematics question paper with solution from best CBSE App the myCBSEguide. CBSE class 12 Mathematics question paper 2018 in PDF format with solution will help you to understand the latest question paper pattern and marking scheme of the CBSE board examination. You will get to know the difficulty level of the question paper. CBSE question papers 2014 for class 12 Mathematics have 15 questions with solution.

CBSE Question Paper 2014

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