CBSE Application of Integrals Maths 12 Science Answers for MCQ in English to enable students to get Answers in a
narrative video format for the specific question.

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Please find the question below and view the Answer in a narrative video format.

** Question:**

** Using integration, find the area of the region bounded by the curves and y = x. **

** Answer Video in** **English****:**

## Similar Questions from CBSE, 12th Science, Maths, Application of Integrals

**Question 1** : Find the area of the region .

**Question 2** : Using integration find the area of the triangular region whose sides have the equations y = 2x + 1, y = 3x + 1 and x = 4.

**Question 3** : Find the area enclosed between the parabola and the line y = mx.

**Question 4** : Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B(4, 5) and C(6, 3).

**Question 5** : Find the area bounded by the curve and the line x = 4y - 2.

### Questions from Other Chapters of CBSE, 12th Science, Maths

### Integrals

**Question 1** : Write the value of :.

**Question 2** : Find : .

**Question 3** : Evaluate :

**Question 4** : Find the integral of the function .

**Question 5** : Show that :

### Three Dimensional Geometry

**Question 1** : Find the co-ordinates of the point where the line through the points (3, -4, -5) and (2, -3, 1) crosses the plane

2x + y + z = 7.

**Question 2** : Find the distance of the point (-1, -5, -10) from the point of intersection of the line and plane

**Question 3** : Find the equation of the plane with intercept 3 on the y-axis and parallel to ZOX plane.

**Question 4** : Find the vector equation of the plane which is at a distance of 5 units from the origin and normal to the plane is

**Question 5** : Find the equation of the plane that contains the point (1, -1, 2) and is perpendicular to both the planes 2x + 3y - 2z = 5 and x + 2y - 3z = 8. Hence find the distance of point P(-2, 5, 5) from the plane obtained above.

### Probability

**Question 1** : Find the mean, the variance and the standard deviation of the number of doublets in three throws of a pair of dice.

**Question 2** : A die is thrown 6 times. If 'getting an odd number' is a 'success', what is the probability of obtaining:

atmost 5 successes?

**Question 3** : A pair of dice is thrown 4 times. If getting a doublet is considered a success, find the probability distribution of the number of successes and hence find its mean.

**Question 4** : A bag contain 2 red, 6 black and 8 green balls. A ball is drawn at random from the bag. Find the probability of black balls:

**Question 5** : If each element of a second-order determinant is either zero or one, what is the probability that the value of the determinant is positive?