# Sample Paper Class 12 Mathematics Term 2 Set D

Please refer to Sample Paper Class 12 Mathematics Term 2 Set D with solutions provided below. We have provided CBSE Sample Papers for Class 12 Mathematics as per the latest paper pattern and examination guidelines for Standard 12 Mathematics issued by CBSE for the current academic year. The below provided Sample Guess paper will help you to practice and understand what type of questions can be expected in the Class 12 Mathematics exam.

## CBSE Sample Paper Class 12 Mathematics for Term 2 Set D

**1. Using integrating by parts in t sin t and** **integrate it.**

**OR****Taking x ^{12} as common in denominator and putting**

**Answer.**

**2. Using separate variable and integrate on both sides.Substituting x = 0, y = π/4 is required equation, we get k = 3 √2.**

**Answer.**cos y dx + (1 + 2e

^{–x}) sin y dy = 0

**3.**

**Answer.**

**4. Using formula of distance between two** **parallel lines **

**Answer.** Distance between two parallel planes,

Ax + By + Cz = d_{1} and Ax+ By + Cz = d_{2} is

**5. Let E _{1} : selecting shop XE_{2} : selecting shop Y**

**A : purchased tin is of type B.**

Using Baye’s theorem and get P

Using Baye’s theorem and get P

**(E**

_{2}/A)**Answer.**E

_{1}: selecting shop X

E

_{2}: selecting shop Y

A : purchased tin is of type B

**6. Comparing with dy/dx + Py = Q and obtained** **the values of P = 1/x** **and Q = cos x + 1/x sin x** **Required the solution of differential equation** **with integrating factor method.****Answer.**

**7.**

**Answer.**

**8. Using partial fraction method in**

**Substitute these values and integrate it.****Answer.**

**9. Solve the given equations and find the** **required points. Now for area, calculate**

**Answer.**

**10. Let E _{1} and E_{2} be the problem solved by A and**

**B respectively.**

**Using P(problem is solved) = 1 – P(E̅**

_{1}).P(E̅_{2})**and P(one of them is solved) = P(E**

_{1}).P(E̅_{2})+**P(E**

_{2}).P(E̅_{1}). Solve it and get answer.**Answer.**Let E

_{1 }: Problem solved by A

E

_{2}: Problem solved by B