Question paper of CBSE Class 12 Maths board exam 2018 is available here for download in PDF format. You can download the complete question paper with the help of download link given at the end of this article. This question paper is very helpful for the students who are going to appear for CBSE Class 12 Maths Board Exam in future.

**CBSE Class 12 Maths Sample Paper 2019 with Answers & Marking Scheme**

**A snapshot of the question paper:**

**Some questions from the Class 12 Maths Question Paper**

**Question 1:**

If a*b denotes the larger ‘a’ and ‘b’ and if a _{o} b = (a * b) + 3, then write the value of (5) _{o }10, where * and _{o} are binary operations.

**Question 2:**

Find the magnitude of each of the two vectors **a** and **b**, having the same magnitude such that the angle between them is 60^{o} and their scalar product is 9/2.

**Question 3:**

If matrix

is skew symmetric, find the value of ‘a’ and ‘b’.

**Question 4:**

Find the value of:

tan^{‒1}√3 ‒ cot^{‒1} (‒√3).

**Question 5:**

The total cost C (*x*) associated with the production of x units of an item is given by C (*x*) = 0.005 *x*^{3}‒ 0.02 *x*^{2} +30 *x* + 5000. Find the marginal cost when 3 units are produced, where by marginal cost we mean the instantaneous rate of change of total cost at any level of output.

**Question 6:**

Differentiate tan^{‒1} {(1 + cos *x*)/sinx}.

**Question 7:**

Given

, compute A^{‒1} and show that 2 A^{‒1} = 9I ‒ A.

**Question 8:**

Prove that 2 sin^{‒1} x = sin^{‒1}(3x ‒ 4 x^{3}), x ϵ [‒ ½, ½]

**Question 9:**

A black and a red die are rolled together. Find the conditional probability of obtaining the sum 8, given that the red die in number less than 4.

**Question 10:**

If sin ø in the angle between *i* ‒ 2 *j* + 3 *k* and 3 *i* ‒ 2 *j* + *k*, find sin ø.

**Question 11:**

Find the differential equation representing the family of curves *y* = *a* *e ^{b x}*

^{ + 5}, where a and b are arbitrary constants.

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