Prove that the square of the distance between the two points ( x 1 , y 1 ) and ( x 2 , y 2 ) of the circle x 2 + y 2 = a 2 is 2 ( a 2 − x 1 x 2 − y 1 y 2 )?

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Prove that the square of the distance between the two points   (      x    1    ,      y    1    ) and   (      x    2    ,      y    2    ) of the circle       x    2    +      y    2    =      a    2   is   2  (      a    2    −      x    1        x    2    −      y    1        y    2    )?

abriladabchx · Accepted Answer

The critical angle for a diamond is 24 degrees, which indicates that the angle of incident light from the diamond to air will be 24 degrees, and the angle of refraction will be 90 degrees. As a result, diamond sparkles if the incidence angle is larger than 24 degrees because whole internal reflection occurs.

What is meant by the statement 'the critical angle for diamond is 24 degrees?

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