Find the point in xy-plane which …
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Posted by Suman Sharma 5 years, 8 months ago
- 4 answers
Yogita Ingle 5 years, 8 months ago
Since x-coordinate of every point in yz-plane is zero. Let P (0, y, z) be a point on the yz-plane such that PA = PB = PC.
Now PA = PB
(0 – 2)2 + (y – 0)2 + (z – 3)2 = (0 – 0)2 + (y – 3)2 + (z – 2)2
i.e. z – 3y = 0
and PB = PC
⇒ y2 + 9 – 6y + z2 + 4 – 4z = y2 + z2 + 1 – 2z ,
i.e. 3y + z = 6 Simplifying the two equating, we get y = 1, z = 3
Here, the coordinate of the point P are (0, 1, 3).
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Suman Sharma 5 years, 8 months ago
0Thank You