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

Expert Teacher provides CBSE Solutions for MCQ 12 Science Maths Relations and Functions 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:**

** Let * be the binary operation on N given by a * b = LCM of a and b. Find 20 * 16. **

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

## Similar Questions from CBSE, 12th Science, Maths, Relations and Functions

**Question 1** : Let A = {1, 2, 3}. Then, number of equivalence relations containing (1, 2) is,

**Question 2** : If is defined by , write f(f(x)).

**Question 3** : If f is the greatest integer function and g is the modulus function . Write the value of g o f(-1/3) – f o g ( -1/3 ) .

**Question 4** : If the mapping f and g are given by f = {(1, 2), (3, 5), (4, 1)} and g = {(2, 3), (5, 1), (1, 3)}, Find .

**Question 5** : Let R be the relation on the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3,3), (3,2)}. then R is,

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

### Application of Derivatives

**Question 1** : 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?

**Question 2** : The normal to the curve passing (1, 2) is :

**Question 3** : The normal at the point (1, 1) on the curve is;

**Question 4** : Ifthen the approximate value of f(3.02) is :

**Question 5** : For the curve, y= if x increases at the rate of 2 units/sec, then how fast is the slope of curve changing when x=3?

### Probability

**Question 1** : In a hockey match, both teams A and B scored same number of goals up to the end of the game, so to decide the winner, the referee asked both the captains to throw a die alternately and decided that the team, whose captain gets a six first, will be declared the winner. If the captain of the team A was asked to start, find their respective probabilities of winning the match and state whether the decision of the referee was fair or not.

**Question 2** : Three persons A, B and C apply for a job of Manager in a Private company. Chance of their selection (A, B and C) are in the ratio 1:2:4. The probability that A, B, and C can introduce changes to improve profits of company are 0.8, 0.5 and 0.3 respectively, if the changes does not take place, find the probability that is due to the appointment of C.

**Question 3** : A bag contains 4 green and 6 white balls. Two balls are drawn one by one without replacement. If the second ball drawn is white, what is the probability that the first ball drawn is also white?

**Question 4** : If and find if E and F are independent events.

**Question 5** : If E and F are independent events, then show that and

### Three Dimensional Geometry

**Question 1** : Find the direction cosines of the line

**Question 2** : 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 3** : Write the distance between the parallel planes 2x - y + 3z = 4 and 2x - y + 3z = 18.

**Question 4** : A plane makes intercepts -6, 3, 4 respectively on the co-ordinte axes. Find the length of the perpendicular from the origin on it.

**Question 5** : Write the equation of the straight line through the point and parallel to z-axis.