Maths 12 Science Relations and Functions CBSE Solutions for MCQ in English to enable students to get Solutions in a narrative video format for the specific question.

Expert Teacher provides Maths 12 Science Relations and Functions CBSE Solutions for MCQ through Video Solutions in English language. This video solution will be useful for students to understand how to write an answer in exam in order to score more marks. This teacher uses a narrative style for a question from Relations and Functions not only to explain the proper method of answering question, but deriving right answer too.

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

** Question:**

** If is defined by , write f(f(x)). **

** Solution Video in** **English****:**

You can select video Solutions from other languages also. Please check Solutions in ( Hindi )

**Question 1** : Functions are defined respectively, by , find . (View Answer Video)

**Question 2** : The function, f(x) = 2x + 1 is, (View Answer Video)

**Question 3** : Consider given by f(x) = 4x + 3. Find the inverse of f. (View Answer Video)

**Question 4** : Let * be the binary operation on N given by a * b = LCM of a and b. Find the identity of * in N. (View Answer Video)

**Question 5** : Let * be the binary operation on N given by a * b = LCM of a and b. Find 5 * 7. (View Answer Video)

**Question 1** : The volume of a cube is increasing at the rate of 9 cubic centimetres per second. How fast is the surface area increasing when the length of an edge is 10 centimetres? (View Answer Video)

**Question 2** : Find the maximum value of in the interval [1,3]. find the maximum value of the same function in [-3,-1]. (View Answer Video)

**Question 3** : Sand is pouring from a pipe at the rate of . The falling sand forms a cone on the ground in such a way that the height of the cone is always one-sixth of the radius of the base. How fast is the height of the sand cone increasing, when the height is 4 cm? (View Answer Video)

**Question 4** : The slope of the tangent to the curve:

at the point (2, -1) is: (View Answer Video)

**Question 5** : The rate of change of the area of a circle with respect to its radius r at r=6cm is: (View Answer Video)

**Question 1** : Find the integral of the function . (View Answer Video)

**Question 2** : Evaluate : (View Answer Video)

**Question 3** : Find the integral of the function . (View Answer Video)

**Question 4** : Find: . (View Answer Video)

**Question 5** : Write an antiderivative for the function, using the method of inspection. (View Answer Video)

**Question 1** : Five bad oranges are accidently mixed with 20 good ones. If four oranges are drawn one by one successively with replacement, then find the probability distribution of number of bad oranges drawn. Hence, find the mean and variance of the distribution. (View Answer Video)

**Question 2** : If E and F are independent events, then show that and

(View Answer Video)

**Question 3** : Assume that the chances of a patient having a heart attack are 40%. Assume that a meditation and yoga course reduces the risk of heart attack by 30% and the prescription of certain drugs and certain restrictions reduces the risk by 25%. At a time, a patient choses only one of the two options with equal probabilities. After going through one of the two options, the patient is selected at random who is suffering from a heart attack. Find the probability that the patient followed a course of meditation and yoga. Write the value referred here. (View Answer Video)

**Question 4** : One card is drawn from a pack of 52 cards. Find the probability of getting a jack of hearts:

(View Answer Video)

**Question 5** : A couple has 2 children. Find the probability that both are boys, if it is known that the older child is boy. (View Answer Video)