Team Gmath EXERCISE 3.1 (MATRIX) Class 12 ncert solution math exercise 3.1 matrix Question 1: (i) The order of the matrix (ii) The number of elements (iii) Write the elements Solution: (i) Since, in the given matrix, the number of rows is 3 and the number of columns is 4 , the order of the matrix is … Read more
Case study Chapter 13 (Probability) Read the following and answer the question(Case study problem probability 2 chapter 13 class 12) in a village there are three mohallas A, B and C. In A, 60% farmers believe in new technology of agriculture, while in B, 70% and in C, 80%. A farmer is selected … Read more
Case study Chapter 13 (probability) Read the following and answer the question(Case study problem probability 1 chapter 13 class 12) In an office three employees Vinay, Sonia and Iqbal process incoming copies of a certain form. Vinay processes 50% of the forms. Sonia processes 20% and Iqbal the remaining of 30% of the form. Vinay … Read more
EXERCISE 5.5 ( Differentiation ) Differentiate the function with respect to (Class 12 ncert solution math exercise 5.5 differentiation) Question 1: Solution: Let Taking logarithm on both the sides, we obtain Differentiating both sides with respect to , we obtain Question 2:Differentiate the function with respect to Solution: Let Taking logarithm on … Read more
Chapter 5 Miscellaneous (differentiation ) Differentiate w.r.t. x the function in Exercises 1 to 11.(Class 12 ncert solution math chapter 5 miscellaneous) Question 1: Solution: Let Differentiate with respect to x Question 2: Solution: Let Differentiate with respect to x Question 3: Solution: Let Taking ‘log’ both side Question 4: Solution: Let Differentiate with respect … Read more
Exercise 5.7 ( Differentiation) Find the second order derivatives of the functions given in Exercises 1 to 10.(Class 12 ncert solution math exercise 5.7 differentiation) Question:1 Solution: Let y = Then, differentiate with respect to x Again differentiate w.r. to x Question 2: Solution: Let Diffrentiate with respect to x Again d.w.r. to x … Read more
EXERCISE 4.3 (Determinants) Question 1: Find area of the triangle with vertices at the point given in each of the following:(Class 12 ncert solution math exercise 4.3 determinants) (i) (ii) (iii) Solution: (i) The area of the triangle with vertices is given by the relation, Hence, area of the triangle is square units. (ii) … Read more
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