**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**

- Evaluate the determinant given below, where w is a cube root of unity.1 ? ?
^{2}? ?^{2}1?^{2}1 ? - Using determinant, find the area of the triangle whose vertices are (−3,5), (3,−6) and (7,2).
- Use the principle of mathematical induction to show that 2+2
^{2}+…+2^{n}=2^{n+1}–2 for every natural number n. - Find the sum of all integers between 100 and 1000 which are divisible by 9.
- Check the continuity of the function f(x) at x = 0 :
- If y=lnx/x, show that d
^{2}ydx^{2}=2lnx−3/x^{3} - If the mid-points of the consecutive sides of a quadrilateral are joined, then show (by using vectors) that they form a parallelogram.
- Find the scalar component of projection of the vectora = 2i + 3j + 5k on the vector b = 2i–2j–k
- Solve the following system of linear equations using Cramer’s rule: x + y = 0, y + z = 1, z + x = 3
- If A=[1 −2,2 −1], B=[a 1, b −1]and (A + B)
^{2}= A^{2}+ B^{2}, Find a and b. - Reduce the matrix A(given below) to normal form and hence find its rank. 5 3 8 A = 0 1 1 1 -1 0
- Show that n(n+1) (2n+1) is a multiple of 6 for every natural number n.
- Find the sum of an infinite G.P. whose first term is 28 and fourth term is 4/49.
- Use De Moivre’s theorem to find (√3 + ?)
^{3}. - If 1, ?, ?2 are cube roots unity, show that (2-?) (2-?2) (2-?10) (2-?11) = 49.
- Solve the equation 2×3 – 15×2 + 37x – 30 = 0, given that the roots of the equation are in A.P.
- 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 ?
- Using first derivative test, find the local maxima and minima of the function f(?) = ?3–12?.
- Evaluate the integral I= ∫?2/(?+1)
^{3}dx - Find the length of the curve y = 3 + ?/2 from (0, 3) to (2, 4).

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

IGNOU ki official website pe to nahi dikha raha assignment.

Too assignment kab aaya??

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