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Tag Archives: NCERT Solutions Class-12

Question 1. In the matrix A = , write: (i)The order of the matrix  Solution: We can see that matrix contains 3 rows and 4 columns… Read More
Question 1. Find the value of  Solution:  We know that   Here,  Now,  can be written as : , where  Hence, the value of  = π/6 Question 2.… Read More
Question 1: Determine whether or not each of the definition of ∗ given below gives a binary operation. In the event that ∗ is not… Read More
Find dy/dx of the following: Question 1. 2x + 3y = sin x Solution: On differentiating both sides w.r.t. x, we get 2 + 3 dy/dx =… Read More
Find the values of each of the following:  Question 11. tan−1[2cos(2sin−11/2​)] Solution: Let us assume that sin−11/2 = x So, sinx = 1/2 Therefore, x = π​/6 =… Read More
Question 11. (i) (ii) Solution: (i) L.H.S.= ∵ L.H.S.=R.H.S Hence proved (ii)  ∵ L.H.S.=R.H.S Hence proved Question 12.  Solution: ∵ L.H.S.=R.H.S Hence proved Question 13. … Read More
Using the properties of determinants and without expanding in Exercise 1 to 7, prove that: Question 1.  Solution: L.H.S.=            … Read More
Question 1. Find the transpose of each of the following matrices: (i)   (ii)  (iii)  Solution: (i) Let A = ∴Transpose of A = A’ =… Read More
Question 1. Determine whether each of the following relations are reflexive, symmetric and transitive: (i) Relation R in the set A={ 1, 2,3, . .… Read More
Write minors and cofactors of the elements of the following determinants:  Question 1.  (i)  (ii)  Solution:  (i)  Finding minors of the elements of the determinant: … Read More
Question 1. Find area of the triangle with vertices at the point given in each of the following :  (i) (1, 0), (6, 0), (4,… Read More
Question 11.  Solution: } Question 12.  Solution: Here, both the elements of R2 of L.H.S. are 0. Therefore, A-1 does not exist. Question 13.  Solution:… Read More