Using properties of proportion , show that x² – 2ax + 1 = 0.

If x=\frac { \sqrt { a+x } +\sqrt { a-1 } }{ \sqrt { a+1 } -\sqrt { a-1 } } , using properties of proportion , show that x² – 2ax + 1 = 0

Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 7 Ratio and Proportion Ex 7.3

Given x=\frac { \sqrt { { a }^{ 2 }+{ b }^{ 2 } } +\sqrt { { a }^{ 2 }-{ b }^{ 2 } } }{ \sqrt { { a }^{ 2 }+{ b }^{ 2 } } -\sqrt { { a }^{ 2 }-{ b }^{ 2 } } } Use componendo and dividendo to prove that { b }^{ 2 }=\frac { { 2a }^{ 2 }x }{ { x }^{ 2 }+1 }

Solution:

ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 7 Ratio and Proportion Ex 7.3

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