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Let hyperbolic curve C and a line L 'be ...

Let hyperbolic curve C and a line L 'be given by the equations `y^(2)-2x^(2)-4y+8=0` and y-2= 0 respectively.If tangent and normal drawn to curve C at point P(2,4) meets the line at T and N respectively,then answer the following questions.
Q: Area (in square units) of `Delta PTN` is:

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Let hyperbolic curve C and a line L be given by the equations y^(2)-2x^(2)-4y+8=0 and y-2= 0 respectively.If tangent and normal drawn to curve C at point P(2,4) meets the line L at T and N respectively,then answer the following questions. Q: Area (in square units) of Delta PTN is:

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