Q. 105.0( 2 Votes )
prove that:
, where a= ax – by and β=ay+bx.
Answer :
Given:- 
Take
LHS
= 
We know that, Formula
Thus,
=
= 
= 
Formula used:- a2 + b2 + 2ab = (a+b)2
= 
=
As given
a= ax–by and β= ay+bx
Thus,
= RHS
So,
Hence Proved
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