CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Sample Paper Class 12

See below CBSE Class 12 Mathematics Term 2 Sample Paper Set C with solutions. We have provided CBSE Sample Papers for Class 12 Mathematics as per the latest paper pattern issued by CBSE for the current academic year. All sample papers provided by our Class 12 Mathematics teachers are with answers. You can see the sample paper given below and use them for more practice for Class 12 Mathematics examination.

CBSE Sample Paper for Class 12 Mathematics Term 2 Set C

1. Let tan3x = t, then dt = 3 tan2x sec2x dx

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Answer.

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

2. Order = 2 and degree = 2 of given differential equation.
Answer.

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

order of given differential equation is 2. 1
Also, the power of the highest order derivative is 2, hence the degree of differential equation is 2.
Therefore, Order = 2 and Degree = 2

3. Using matrix method, we get

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Answer.

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

4. Probability of drawing 2 green balls and 1 blue

Answer. Probability of drawing 2 green balls and one blue ball

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

5. Put x2 = y to make partial fractions

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Solving, we get A = –1 and B = 2 Putting these values and integrate it.
Answer. Put x2 = y to make partial fractions

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

6. Using separable method, we get

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Integrating both sides
Answer.

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

7.

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

Answer. The angle q between the vectors a̅ and b̅ is given by

8.

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Answer. Consider

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

12.

CBSE Class 12 Mathematics Term 2 Sample Paper Set C

Answer. From the given points,

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