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 𝟏+𝒊 𝒏 Q.1) Prove that ( ) = 𝒊𝒏 𝟏−𝒊 𝟐−𝟓𝒊 Q.2) Express into the form of 𝒂 + 𝒊𝒃 𝟏−𝟒𝒊 𝟐𝒙−𝟏 𝟗𝒙+𝟏𝟏 Q.3) Resolve in to partial fractions: (a)...
Assignment-3 𝟏+𝒊 𝒏 Q.1) Prove that ( ) = 𝒊𝒏 𝟏−𝒊 𝟐−𝟓𝒊 Q.2) Express into the form of 𝒂 + 𝒊𝒃 𝟏−𝟒𝒊 𝟐𝒙−𝟏 𝟗𝒙+𝟏𝟏 Q.3) Resolve in to partial fractions: (a) (b) (𝒙−𝟏)(𝟐𝒙+𝟑) (𝒙−𝟏)(𝒙𝟐 +𝟑𝒙+𝟏) 𝒙+𝟐 𝒙𝟐 +𝒙 (c) (d) (𝒙−𝟏)(𝒙−𝟐)𝟐 (𝒙−𝟏)𝟐 (𝒙𝟐 +𝟒) 𝟏 𝟗 Q.4) Find the constant term in the expansion of (𝟐𝒙 + 𝟑𝒙𝟐 ). 𝟏 𝟕 Q.5) Find the middle term in the expansion of (𝟐𝒙𝟐 − 𝒙). 𝑛 Q.6) Find the value of n, when 𝑃6 = 20 × 𝑃4𝑛 18 18 𝑟 Q.7) If 𝐶𝑟 = 𝐶𝑟+2 then find the value of 𝐶4.
