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how to find the equation of locus of point whose distance from X-axis is half its distance from origin?

how to find the equation of locus of point whose distance from X-axis is half its distance from origin?

Grade:

1 Answers

Amit Jain
askIITians Faculty 32 Points
7 years ago

let the point be (h,k).

distance from x axis = k

distance from origin= √(h2 + k2)

so the equation would be : 2k = √(h+ k2)

replace h and k by x and y respectively. The equation would be obtained.

 

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