exam Maths Puzzle Numerical Ability

How do i prove the characterization of the internal angle bisector theorem: Let (P) be in the interior of an angle with arms L1 and L2 then (P) is on the angle bisector if and only if d(P,L1) = d(P,L2)

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2. Form each of the following:
• A linear equation in one variable
• A linear equation in two variables
• A quadratic equation
• A polynomial of three te
if i represents the imaginary number whose square is -1,then (radical2 + radical2 x i)^4= ?