Find the equation of locus of a point which is equidistant from A(2,0) and the Y-axis
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The location of the point which is equidistant from A(2,0) and Y axis is (1,0)
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Let the point be P(h,k)
Given,
P is equidistant from A(2,0) and the Y axis
⇒(h−2)2+K2
=h
⇒(h−2)2+K2=h2 [Squaring]
⇒h2+4−4h+K2=h2
⇒K2=4(h−1)
Replacing (h.k) with (x,y) we get
y2=4(x−1)
refer the attachment..!!
Hope it helps..!!
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