NCERT Solutions for Class 12 Maths Exercise 7.8

Class XII Mathematics Ex. 7.8 solutions are free to download in PDF or view online without download updated for new academic session 2024-25. UP Board Intermediate Students can download UP Board Solutions for Class 12 Maths Exercise 7.8 here free of cost. Download CBSE Apps based on Latest NCERT Solutions for 2024-25. Ask your doubts through discussion forum and discuss your Maths problems also with your friends.

NCERT Solutions for Class 12 Maths Chapter 7 Exercise 7.8 Integrals in English as well as Hindi Medium is given below updated for new session. Download NCERT Books for class 12 all subject in Hindi and English Medium.

1. Let A = {1, 2, 3… 12} and R be a relation in A × A defined by (a, b) R (c, d) if ad = bc ∀ (a, b), (c, d) ∈ A × A. Prove that R is an equivalence relation. Also obtain the equivalence class [(3, 4)].
2. A trust invested some money in two type of bonds. The first bond pays 10% interest and second bond pays 12% interest. The trust received ₹2800 as interest. However, if trust had inter changed money in bonds, they would have got ₹100 less as interest using matrix method, find the amount invested in each bond by the trust.
3. If ‘*’ is a binary operation on R defined by a * b = a + b + ab. Prove that * is commutative and associative. Find the identify element. Also show that every element of R is invertible except –1.

1. Two tailors A and B earn ₹150 and ₹200 per day respectively. A can stitch 6 shirts and 4 pants per day, while B can stitch 10 shirts and 4 pants per day. How many days shall each work if it is desired to produce atleast 60 shirts and 32 pants at a minimum labour cost? Solve the problem graphically.
2. Let N denote the set of all natural numbers and R be the relation on N × N defined by (a, b) R (c, d) if ad (b + c) = bc (a + d). Show that R is an equivalence relation.
3. A man has ₹ 1500 to purchase two types of shares of two different companies S1 and S2. Market price of one share of S1is ₹180 and S2 is ₹120. He wishes to purchase a maximum of ten shares only. If one share of type S1 gives a yield of ₹11 and of type S2 yields ₹8 then how much shares of each type must be purchased to get maximum profit? And what will be the maximum profit?

Download NCERT Books for 12th class and Offline Apps 2024-25 based on new CBSE Syllabus. Ask your doubts related to NIOS or CBSE Board and share your knowledge with your friends and other users through Discussion Forum.