Unit-3 Assignment-3 PDF
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Government Polytechnic Kalaburagi
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Summary
This document contains mathematics assignment questions covering several topics including complex numbers, partial fractions, binomial expansion, and combinations. The questions are designed for students in secondary school.
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Assignment-3 π+π π Q.1) Prove that ( ) = ππ πβπ πβππ Q.2) Express into the form of π + ππ πβππ ππβπ ππ+ππ Q.3) Resolve in to partial fractions: (a)...
Assignment-3 π+π π Q.1) Prove that ( ) = ππ πβπ πβππ Q.2) Express into the form of π + ππ πβππ ππβπ ππ+ππ Q.3) Resolve in to partial fractions: (a) (b) (πβπ)(ππ+π) (πβπ)(ππ +ππ+π) π+π ππ +π (c) (d) (πβπ)(πβπ)π (πβπ)π (ππ +π) π π Q.4) Find the constant term in the expansion of (ππ + πππ ). π π Q.5) Find the middle term in the expansion of (πππ β π). π Q.6) Find the value of n, when π6 = 20 Γ π4π 18 18 π Q.7) If πΆπ = πΆπ+2 then find the value of πΆ4.