The Equation Of Normal To The Rectangular Hyperbola Xy = 4 At The Point P On The Hyperbola Which Is Parallel To The Line 2x – Y = 5 Is –

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The equation of normal to the rectangular hyperbola xy = 4 at the point P on the hyperbola which is parallel to the line

2x – y = 5 is –


Correct option is

Slope of the normal to the rectangular hyperbola xy = 4 is m = t2 = 2 and 2x – y = 5 has slope = 2.

Equation of the normal is 

⇒      ty – 2 = 2tx – 4t2

⇒    2tx – ty + 2 – 4t2




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