﻿ The locus of the mid-point of te portion intercepted between the axes by the line  where p is constant is : Kaysons Education

# The Locus Of The Mid-point Of Te Portion Intercepted Between The Axes By The Line  where p is Constant Is

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## Question

### Solution

Correct option is

Let the line  meet the x-axis and y-axis respectivelyA and B. then coordinates of A are  and those of B are . If (h, k)is the mid-point of AB, then

To find the locus of (h, k) we have to eliminate . We have

And

Whence squaring and adding, we get

.

the required locus of (h, k) is

or

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