1. Chapter 5 Class 12 Continuity and Differentiability
2. Serial order wise
3. Ex 5.6

Transcript

Ex 5.6, 2 If x and y are connected parametrically by the equations without eliminating the parameter, Find ππ¦/ππ₯, π₯=π cosβ‘π, π¦=π cosβ‘π π₯=π cosβ‘π, π¦=π cosβ‘π ππ¦/ππ₯ = ππ¦/ππ₯ Γ ππ/ππ (β("Multiplying Numerator" @"& Denominator by d" π)) ππ¦/ππ₯ = ππ¦/ππ Γ ππ/ππ₯ ππ¦/ππ₯ = (ππ¦/ππ)/(ππ₯/ππ) Calculating ππ/ππ½ π¦ = π cosβ‘π ππ¦/ππ = π(π πππ β‘π)/ππ ππ¦/ππ = b . (βsinβ‘π ) ππ¦/ππ = β b sin π Calculating ππ/ππ½ π₯=π cosβ‘π ππ₯/ππ = π(π cosβ‘π )/ππ ππ₯/ππ = π . (βsinβ‘π ) ππ₯/ππ = βπ sinβ‘π Therefore ππ¦/ππ₯ = (ππ¦/ππ)/(ππ₯/ππ) ππ¦/ππ₯ = (β b sin π)/(β π sinβ‘π ) ππ/ππ = π/π

Ex 5.6