See below CBSE Class 12 Mathematics Term 2 Sample Paper Set B 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 B**

**1. Let √x = t and differentiate both sides.**

**OR****Using 1 = sin ^{2}x + cos^{2}x and sin 2x = 2sin x**

**cos x and solve it.**

**Answer.**

**2. Used separable method,** **e ^{y}dy = 2xe^{x2 }dx.**

**and integrating both sides.**

**Answer.**Given that,

**3. Using matrix method and get**

**Answer.**

**4. Let a boy and a girl represented be B and G** **respectively and the probabilities of the event** **that a family has atleast one girl be E _{1} and the**

**event that the eldest child is a girl be E**

_{2}.**Answer.** We have,

**5.**

**Answer.**

**6.**

**Answer.** Given differential equation,

**7.**

**Answer.**

**8.** **Let E _{1}, E_{2} and E_{3} represented by 2 white, 3 white and 4 white balls is an urn.**

Let A : 2 balls drawn are white.

Using Baye’s theorem and get the probability that all the four balls in urn are white.

**Answer.**Let E

_{1}: urn has 2 white balls

E

_{2}: urn has 3 white balls

E

_{3}: urn has 4 white balls

A : 2 balls drawn are white

**9.**

**Answer.**

The area lying between the curve y^{2} = 4x and y = 2x is represented by the shaded area

OBAO as The points of intersection of the curves are O(0, 0) and A(1, 2).

We draw AC perpendicular to X-axis such that coordinate of C is (1, 0).