# Class 12 Mathematics Sample Paper Term 2 Set C

Please refer to Class 12 Mathematics Sample Paper Term 2 Set C with solutions below. The following CBSE Sample Paper for Class 12 Mathematics has been prepared as per the latest pattern and examination guidelines issued by CBSE. By practicing the Mathematics Sample Paper for Class 12 students will be able to improve their understanding of the subject and get more marks.

## CBSE Class 12 Mathematics Sample Paper for Term 2

1. Let x + sin x = t, then dt = (1 + cos x)dx using formula

Answer. Let x + sin x = t
So, (1 + cos x)dx= dt

2. On separating variables,
3ydy = dx
Integrating both sides and solve it.

Given differential equation is
(dy/dx) = 3-y
On separating the variables, we get
3y dy = dx 1
On integrating both sides, we get

3. Use matrix method, we get

4. ∵ XY plane, then z = 0
∴ Required point is (0, 0, 0)
Answer. In the XY plane, z = 0.
Hence the given equation becomes

5. Putting sin x = t, then cos x dx = dt, Substitute and using partial fraction, we get

Solving, we get A = 1, B = 1 and C = 1, Putting the values of A, B and C and integrate it.