Ncert solutions of class 10 maths chapter 3
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Consequently, the total cost prices of all the products in market I can be represented in the form of a matrix as: Since the total revenue in market I isRs 46000, the gross profit in this marketis Rs 46000 — Rs 31000 Rs 15000. Later, she buys another bat and 3 more balls of the same kind for Rs 1300. Justification of all the constructions is also explained. Initially, students will need to read and comprehend each chapter thoroughly before proceeding to get the answers to the questions. Thus, to find all the possible orders of a matrix having 24 elements, we have to find all the ordered pairs of natural numbers whose product is 24.

Therefore, A — 1does not exist. So they are taken as variables x and y. This number is equal to the number of rows in matrix B. . When a student A takes food for 20 days she has to pay Rs 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs 1180 as hostel charges. In order to solve the given pair of equations by substitution method, substitute the value of any one of the variable from any one of the equation.

Representing A as the sum of P and Q: ii Thus, is a symmetric matrix. Make sure you substitute the value of that variable which simplifies your calculations. Thus, to find all the possible orders of a matrix having 18 elements, we have to find all the ordered pairs of natural numbers whose product is 18. Q10 :The number of all possible matrices of order 3 x 3 with each entry 0 or 1 is: A 27 B 18 C 81 D 512 Answer : The correct answer is D. This number is equal to the number of rows in matrix A.

Finally he gave the answer in seconds. Observe that the variable y has the same coefficient in both the equations, so it will be easier to find the solution by eliminating y from both the equations. Also, one can solve the system by other methods. Answer : The correct answer is B. An comprises a good deal of unsolved questions in each chapter that's quite helpful for the last year exams. Solution: Let the fixed charge of the food and the charge for food per day be x and y respectively.

By cross-multiplication method, Thus, the given pair of equations has infinite solutions. Q9 : Which of the given values of xand y make the following pair of matrices equal A B Not possible to find C D Answer : The correct answer is B. Form the pair of linear equations in the following problems and find their solutions if they exist by any algebraic method: i A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. Answer : Comparing the corresponding elements of these two matrices, we get: Q13 :If , show that. The coach of a cricket team buys 3 bats and 6 balls for Rs 3900.

Solution will be same in both cases. Register for our free webinar class with best mathematics tutor in India. The last term is denoted by l and given by a + n-1 d. Try to comprehend each and every area of the textbook which makes the task easier. If the trust fund must obtain an annual total interest of: a Rs 1,800 b Rs 2,000 Answer : a Let Rs x be invested in the first bond. Q18 :If and I is the identity matrix of order 2, show that Answer : Q19 :A trust fund has Rs 30,000 that must be invested in two different types of bonds.

Q21 :Assume X, Y, Z, W and P are matrices of order , and respectively. This topic will help the students to build a strong foundation for the topic, Circle. In each chapter, there are two division - Serial Order Wise, and Concept Wise. For the solutions of other maths chapters of class 10,. The cost of 2 kg of apples and 1kg of grapes on a day was found to be Rs 160. Mark the essential points in each paragraph and frame the reply to the questions with extreme care.

Q9 :Find and , when Answer : The given matrix is Q10 : Express the following matrices as the sum of a symmetric and a skew symmetric matrix: i ii iii iv Answer : i Thus, is a symmetric matrix. Q20 :The bookshop of a particular school has 10 dozen chemistry books, 8 dozen physics books, 10 dozen economics books. It is given that the first bond pays 5% interest per year and the second bond pays 7% interest per year. First the concept is explained, and then the questions are explained, from easy to difficult. Thus, is a skew-symmetric matrix. With an in-depth study of this chapter and solving of the problems will help the students to solve complex problems easily.