Gmath

    EXERCISE 4.6 ( Determinants ) Question 1: Examine the consistency of the system of equations:(Class 12 ncert solution math exercise 4.6) Solution: The given system of equations is: The given system of equations can be written in the form of , where Hence, =3-4 So, is non-singular. Therefore, exists. Thus, the given system … Read more

  EXERCISE 4.1 ( Determinants ) Evaluate the determinant:(Class 12 ncert solution math exercise 4.1) Question 1:   Solution: Let Hence, Question 2: Evaluate the determinants: (i) (ii) Solution: (i) (ii) Question 3: If , then show that Solution: The given matrix is Therefore, Hence, Now, Therefore, Thus, proved. Question 4: If , then show … Read more

 EXERCISE 4.4 (Determinants) Write Minors and Cofactors of the elements of following determinants:(Class 12 ncert solution math exercise 4.4) Question 1: (i) (ii) Solution: (i) The given determinant is Minor of element is minor of element minor of element minor of element minor of element Cofactor of is (ii) The given determinant is Minor of … Read more

    EXERCISE 5.4 ( Differentiation ) Differentiating the following w.r.t.(Class 12 ncert solution math exercise 5.4) Question 1: . Solution:Let By using the quotient rule, we get Question 2: Solution:Let By using the quotient rule, we get Question 3: Solution:Let By using the quotient rule, we get Question 4:   Solution:Let By using the … Read more

              Exercise 1.2 Question 1: Show that the function defined by is one-one and onto, where the set of all non-zero real numbers. Is the result true, if the domain is replaced by with codomain being same as (Class 12 ncert solution math exercise 1.2 ) Solution: For one-one: … Read more