JAC Class 12 Math Question Paper 2017 with Solution

About this paper

This is the Jharkhand Academic Council (JAC) Class 12 Mathematics paper from the 2017 board examination, with a worked solution under the questions. The Hindi general instructions describe 29 questions in three sections: Section A has ten one-mark objective questions, Section B twelve four-mark questions and Section C seven six-mark questions, for 100 marks in total. Calculators are not allowed. Many questions offer an internal choice, for example a second-derivative proof or an implicit differentiation. The final linear programming question, minimising Z = x + 2y subject to 2x + y ≥ 3 and x + 2y ≥ 6, is the same as in the 2016 paper.

Exam

JAC Class 12

Subject

Math

Year

2017

Maximum marks

100

Questions

29

Pages

8

Answers included

Yes

Paper pattern

• Section A

  10 marks

  Questions 1–10, short objective questions, one mark each

• Section B

  48 marks

  Questions 11–22, four marks each; internal choice in some

• Section C

  42 marks

  Questions 23–29, six marks each; internal choice in some

Topics covered

• Binary operations
• Inverse trigonometric functions
• Matrices and determinants
• Continuity and differentiability
• Application of derivatives
• Integrals
• Application of integrals
• Differential equations
• Vector algebra
• Three-dimensional geometry
• Probability and Bayes' theorem
• Linear programming

Questions from this paper

1. Find the principal value of cosec⁻¹(−√2).
2. If e^y (x + 1) = 1, show that d²y/dx² = (dy/dx)².
3. If the vertices A, B and C of triangle ABC are (1, 2, 3), (−1, 0, 0) and (0, 1, 2) respectively, find ∠ABC.
4. Solve the system of linear equations x − y + 2z = 7, 3x + 4y − 5z = −5, 2x − y + 3z = 12 using the matrix method.
5. Find the area of the region bounded by the circle 4x² + 4y² = 9 and the parabola x² = 4y.
6. A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn and are found to be both diamonds. Find the probability of the lost card being a diamond.