class 12 maths ex 6.2 ncert solution

           Exercise 6.2 class 12 maths ex 6.2 ncert solution Question 1: Show that the function given by is strictly increasing on . Solution: Therefore, the function is strictly increasing on . Question 2: Show that the function given by is strictly increasing on . Solution: , For all Therefore, the … Read more

Ex 1.3 sets ncert maths solution class 11

    EXERCISE 1.3 1. Make correct statements by filling in the symbols ⊂ or ⊄ in the blank spaces:(Ex 1.3 sets ncert maths solution class 11) (i) {2, 3, 4} … {1, 2, 3, 4, 5} (ii) {a, b, c} … {b, c, d} (iii) {x: x is a student of Class XI of your school} … {x: x student of your school} (iv) {x: x is a … Read more

int root cotx + root tanx dx

Question:   Solution:  Let —–(i) Let differentiate with respect to x Putting in eq (i) Divide by in numerator and denominator Let D.w.r. t.x Now              OR We can do this question with another method  —(i) Let Differentiate with respect to x Again taking Squaring both side Putting in (i) … Read more

Ex 1.1 ncert maths solution class 11

    EXERCISE 1.1 1. Which of the following are sets? Justify our answer.(Ex 1.1 ncert maths solution class 11 ) (i) The collection of all months of a year beginning with the letter J. (ii) The collection of the ten most talented writers of India. (iii) A team of eleven best-cricket batsmen of the world. (iv) The … Read more

class 12 maths exercise 4.5 ncert solution

EXERCISE 4.5 (Determinant) class 12 maths exercise 4.5 ncert solution Question 1: Find the adjoint of the matrix Solution: Let Then, Thus Question 2: Find the adjoint of the matrix Solution: Let Then, Question 3:  Verify for Solution: Let Then, Also, Now, Hence, Now, Also, Hence, . Question 4: verify for Solution : Let Then … Read more

class 12 maths exercise 3.3 solution

EXERCISE 3.3 (Matrix) class 12 maths exercise 3.3 solution Question1: Find the transpose of each of the following matrices: (i) (ii) (iii) Solution: (i) Let Then (ii) Let Then (iii) Let Then Question2: and Then verify that (i) (ii) Solution:  (i) and Now Hence (ii)  Then Thus Question 5: For the matrices A and B, … Read more