BCS-012 Basic Mathematics

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Title Name BCS-012 Solved Assignment 2019-20

University IGNOU

Service Type Solved Assignment (Soft copy/PDF)

Course BACHELOR OF COMPUTER APPLICATIONS(BCA)

Language ENGLISH

Semester BCA(Revised Syllabus)/ASSIGN/SEMESTER-I

Session 2019-20

Short Name BCS-012

Assignment Code BCA (1)/012/Assignment/2019-20

Product Assignment of BCA 2020 (IGNOU)

Price Rs. 30

Last Date of Submission

15th October, 2019 (For July, 2019 Session)

15th April, 2020 (For January, 2020 Session)

Q1. Show that

Where 𝜔 is a complex cube root of unity.

Q2. Show that A2-4A + 5 I2 = 0. Also, find

Q3. Show that 133 divides 11n+2 + 122n+1 for every natural number n.

Q4. If p th term of an A.P is q and q th term of the A.P. is p, find its r th term.

Q5. If are cube roots of unity, show that

Q6. If α, β are roots of x2-3ax + a2 = 0, find the value(s) of a if α2 + β2 =

Q7. If y = 𝐼𝑛

√1+X − √1−X

√1+X + √1−X

, find dy

dX .

Q8. show that A (adj.A) = |A |I3.

Q9. Find the sum of all the integers between 100 and 1000 that are divisible by 9

Q10. Write De Moivre’s theorem and use it to find (√3 + i)

Q11. Solve the equation Given that one of the roots

exceeds the other by 2.

Q12. Solve the inequality and graph its solution.

Q13. Determine the values of x for which f(x) = x increasing and for which it is decreasing.

Q14. Find the points of local maxima and local minima of

Q15. Evaluate : ∫

Q16. Using integration, find length of the curve y = 3 – x from (-1, 4) to (3, 0).

Q17. Find the sum up to n terms of the series 0.4 + 0.44 + 0.444 + …

Q18. Show that the lines

Intersect.

Q19. A tailor needs at least 40 large buttons and 60 small buttons. In the market,

buttions are available in two boxes or cards. A box contains 6 large and 2

small buttons and a card contains 2 large and 4 small buttons. If the cost of

a box is $ 3 and cost of a card is $ 2, find how many boxes and cards

should be purchased so as to minimize the expenditure.

Q20. A manufacturer makes two types of furniture, chairs and tables. Both the

products are processed on three machines A1, A2 and A3. Machine A1

requires 3 hours for a chair and 3 hours for a table, machine A2 requires 5

hours for a chair and 2 hours for a table and machine A3 requires 2 hours

for a chair and 6 hours for a table. The maximum time available on

machines A1, A2 and A3 is 36 hours, 50 hours and 60 hours respectively.

Profits are $ 20 per chair and $ 30 per table. Formulate the above as a

linear programming problem to maximize the profit and solve it.

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