The locus of a point whose difference of distance from points (3, 0) and (-3, 0) is 4, is:

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Official Sr. Teacher Gr II NON-TSP MATHEMATICS (Held on :29 Oct 2018)
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Sr. Teacher Gr II NON-TSP GK Previous Year Official questions Quiz 4
5 Qs. 10 Marks 5 Mins

Detailed Solution

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Concept:

Let  A = (x1,y1) and  B = (x2 ,y2) be any two points.

Then Distance between A And B is given by distance formula.

AB =  

 

Calculation:

Given: Difference of distance from points (3, 0) and (-3, 0) is 4

Consider A = (3, 0) and B = (-3, 0)

Let a point be p(x, y)

As we know distance is always positive

So, |PA - PB| = 4

Squaring both sides, we get

Squaring both sides, we get

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