Question
The equation of the set of points which are equidistant from (1,2,3) and (3,2,-1).
Answer: Option A
:
A
Let P(x,y,z) represent the set of points whichequidistant from A(1,2,3) and B(3,2,-1).
Equating AP=BP using the distance formula, we have
(x−1)2+(y−2)2+(z−3)2=(x−3)2+(y−2)2+(z+1)2⇒−2x−4y−6z=−6x−4y+2z⇒4x−8z=0⇒x=2z
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:
A
Let P(x,y,z) represent the set of points whichequidistant from A(1,2,3) and B(3,2,-1).
Equating AP=BP using the distance formula, we have
(x−1)2+(y−2)2+(z−3)2=(x−3)2+(y−2)2+(z+1)2⇒−2x−4y−6z=−6x−4y+2z⇒4x−8z=0⇒x=2z
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