﻿ 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 : Kaysons Education

# 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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## Question

### Solution

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 = 2t (– 2t)

⇒ ty – 2 = 2tx – 4t2

⇒ 2tx – ty + 2 – 4t2 = 0

#### SIMILAR QUESTIONS

Q1

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