R={(a, b): a ≤  b³} is reflexive, symmetric or transitive

Question 2: Check whether the relation R in R defined as R={(a, b): a ≤  b³} is reflexive, symmetric or transitive. Solution:-   Reflexive:- , since is not reflexive. Symmetric:- R is not symmetric.  Transitive:- is not transitive. is neither reflexive nor symmetric nor transitive. Other question:- R= {(a, b): a ≤ b²} is neither reflexive … Read more

Exercise 8.2 ncert math solution class 12

Exercise 8.2(Application of Integrals) Question 1: Find the area of the circle which is interior to the parabola . Solution : The required area is represented by the shaded area OBCDO. Solving the given equation of circle , and parabola , Whent then we obtain the B Point of intersection as and . Area Area … Read more

Exercise 7.4 ncert solutions maths class 11

EXERCISE 7.4(Permutations and Combinations) Exercise 7.4 ncert solutions maths class 11 Question 1: If , find . Solution:- Given that We know that if then either r=p or r=n-p If On rearranging we get Now, Question 2: Determine if (i) (ii) Solution: (i) Given that: Substituting the formula we get On multiplying we get (ii) … Read more

Exercise 7.3 ncert solutions maths class 11

Exercise 7.3(Permutations and Combinations) Chapter 7 Exercise 7.3 ncert solutions maths class 11 Question 1: How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated? Solution: Total number of digit n=9 Number of places where the digit can fill If repetition of digit not allowed, Then … Read more