BCS-012 Basic Mathematics Solved Assignment 2018-19

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BCS-012 Solved Assignment Download In PDF For IGNOU BCA 1st Semester

BCS-012 Basic Mathematics Solved Assignment For IGNOU BCA 1st Semester

Assignment Code: BCA(1)-012/Assignment/2018-19

Last Date For Submission: 15th October, 2018 (For July, 2018 Session)

15th April, 2019 (For January, 2019 Session)
All Questions are Solved in this Assignment Solution
  1. Evaluate the determinant given below, where w is a cube root of unity.
    1 ? ?2
    ? ?2 1
    ?2 1 ?
  2. Using determinant, find the area of the triangle whose vertices are (−3,5), (3,−6) and (7,2).
  3. Use the principle of mathematical induction to show that 2+22+…+2n=2n+1–2 for every natural number n.
  4. Find the sum of all integers between 100 and 1000 which are divisible by 9.
  5. Check the continuity of the function f(x) at x = 0 :
  6. If y=lnx/x, show that d2ydx2=2lnx−3/x3
  7. If the mid-points of the consecutive sides of a quadrilateral are joined, then show (by using vectors) that they form a parallelogram.
  8. Find the scalar component of projection of the vector
    a = 2i + 3j + 5k on the vector b = 2i–2j–k
  9. Solve the following system of linear equations using Cramer’s rule: x + y = 0, y + z = 1, z + x = 3
  10. If A=[1 −2,2 −1], B=[a 1, b −1]and (A + B)2= A2+ B2, Find a and b.
  11. Reduce the matrix A(given below) to normal form and hence find its rank. 5 3 8 A = 0 1 1 1 -1 0
  12. Show that n(n+1) (2n+1) is a multiple of 6 for every natural number n.
  13. Find the sum of an infinite G.P. whose first term is 28 and fourth term is 4/49.
  14. Use De Moivre’s theorem to find (√3 + ?)3.
  15. If 1, ?, ?2 are cube roots unity, show that (2-?) (2-?2) (2-?10) (2-?11) = 49.
  16. Solve the equation 2×3 – 15×2 + 37x – 30 = 0, given that the roots of the equation are in A.P.
  17. A young child is flying a kite which is at height of 50 m. The wind is carrying the kite horizontally away from the child at a speed of 6.5 m/s. How fast must the kite string be let out when the string is 130m ?
  18. Using first derivative test, find the local maxima and minima of the function f(?) = ?3–12?.
  19. Evaluate the integral I= ∫?2/(?+1)3 dx
  20. Find the length of the curve y = 3 + ?/2 from (0, 3) to (2, 4).

3 Comments:

  1. Kamlesh Pant says:

    Hi may i get the solved assignment of DECE Hindi? Please?

  2. Kartikey Kumar says:

    IGNOU ki official website pe to nahi dikha raha assignment.
    Too assignment kab aaya??

    1. khojinet says:

      This is the link of official IGNOU website for the same assignment : https://webservices.ignou.ac.in/assignments/bca/2018-19/1st%20Sem%20Ass.2018-19.pdf