Find the equation of the standard rectangular hyperbolafind

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Find the equation of the standard rectangular hyperbola.

Find the equation of the standard rectangular hyperbola whose center is (-1/2 , -1/2) and which passes through the point (1, 1/4).

Find the equation of the tangent and normal at a point to rectangular Hyperbola.

Find the equation of the tangent and normal at (-2,1/4 ) to the rectangular hyperbola 
2xy - 2x - 8y - 1 = 0

Reference no: EM13357299

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