# CBSE Marking Scheme for Class 12 Maths: 2019 CBSE Marking Scheme for Class 12 Maths: 2019

CBSE Marking Scheme for Class 12 Maths Board Exam 2019 is available here for download in PDF format. Here you will also get latest Sample Paper of CBSE Class 12 Maths. The entire Marking Scheme is explained with the help of this Sample Paper. These papers are issued by CBSE itself for their stakeholders. These resources are important for the preparation of CBSE Class 12 Maths Board Exam 2019.

Central Board of Secondary Education (CBSE) release Sample Papers and Marking Scheme for Class 10th and Class 12th before the beginning of board exams, every year. There are several benefits of studying latest CBSE Sample Paper and Marking Scheme of Class 12 Maths and you can learn more with the help of an interesting article (and video), you can access it from the link given below

CBSE Board Exam 2019: Effective Way to Use CBSE Sample Papers & Marking Schemes - Check here!

Some content from latest CBSE Sample Paper and Marking Scheme of Class 12 Maths:

Mathematics Time allowed: 3 hours, Maximum Marks: 100

General Instructions:

1. All questions are compulsory.

2. This question paper contains 29 questions.

3. Questions 1 – 4 in Section A are very short-answer type questions carrying 1 mark each.

4. Questions 5 – 12 in Section B are short-answer type questions carrying 2 marks each.

5.Questions 13 – 23in Section Care long-answer I type questions carrying 4 marks each.

6.Questions 24 – 29 in Section D are long-answer II type questions carrying6 marks each.

Q1. If A and B are invertible matrices of order 3, |A| = 2 and | (AB)‒1| = ‒1/6. Find |B|.

Solution1:

| 1/ (AB)| = ‒1/6 ⇒  1/(|A||B|) = ‒1/6 ⇒  |B| = ‒3. 

CBSE Class 12 Mathematics Syllabus 2019 – Check here!

Q2. Differentiate sin2(x2) w.r.t  x2.

Solution2:

2 sin(x2) cos (x2) or sin (2x2). 

Q3. Write the order of the differential equation: log (d2y/dx2) = (dy/dx)3 + x.

Solution3:

2 

Question4. Find the acute angle which the line with direction cosines 1/√3, 1/√6, n makes with positive direction of z-axis.

Solution4:

l2 + m2 + n2 = 1 ⇒(1/√3)2 + (1/√6)2 + n2 = 1 ⇒ cos γ = 1/√2 ⇒ γ = 45o or π/4. 

OR

Question4. Find the direction cosines of the line: (x ‒ 1)/2 = ‒ y = (z + 1)/2.

Solution4:

Direction ratios of the given line are 2, –1, 2. [1/2]

Hence, direction cosines of the line are:

2/3, ‒1/3, 2/3 or ‒2/3, 1/3, ‒2/3 [1/2]

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