# Class 12 Mathematics Sample Paper Term 2 Set C

Please see below Class 12 Mathematics Sample Paper Term 2 Set C with solutions. We have provided Class 12 Mathematics Sample Papers with solutions designed by Mathematics teachers for Class 12 based on the latest examination pattern issued by CBSE. We have provided the following sample paper for Term 2 Class 12 Mathematics with answers. You will be able to understand the type of questions which can come in the upcoming exams.

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

**1. Use the property**

**Answer.** ∫ex (1 – cot x + cosec^{2}x)dx

**2. Use separable method,**

**On integrating both sides and solve it.**** Answer.** Given differential equation

**3. Using î · î = k̂· k̂**

**= ĵ · ĵ = 1**

**Answer.**Since î, ĵ, k̂ are the unit vectors

**4. Distance between two parallel planes**

**Comparing and putting the values of d1, d2, A, B and C, we get 2/√29****Answer.** Distance between two parallel planes,

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

Comparing with

Ax + By + Cz = d_{1}

A = 2, B = 3, C = 4, d_{1} = 4

And now,

4x + 6y + 8z = 12

2x + 3y + 4z = 6

Comparing with

Ax + By + Cz = d_{2}

A = 2, B = 3, C = 4, d2 = 6

So

Distance between the two planes

**5. Probability to neither of them winning the** **race = P(A̅) .P(B̅), wher**e

**Answer.**

**6. Using partial fraction method, we get**

**We get A = –1 and B = 2.****Answer.**

**7.**

**Answer.** Given, (y + logx) dx – x dy = 0

**8.**

**Answer.** We have

**9.**

**Answer.** Given curve y^{2} = 8x and line x = 2

If x = 2 Þ y = ± 4

If x = 0 Þ y = 0

So the point of intersection (2, ± 4) and (0, 0) 1

since, this curve is bounded by x-axis

i.e., y = 0 ⇒ x = – a

Also, if x = 0 ⇒ y = 0

Hence, the point of intersection will be (–a, 0) and (0, 0) as given in the graph