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AP EAMCET · Maths · Straight Lines

If \(A=(2,3,4)\) and \(B=(-2,3,4)\), then the locus of a point \(P\) such that \(\mathrm{PA}+\mathrm{PB}=4\) is

  1. A \(y^2+z^2+6 y+8 z+25=0\)
  2. B \(y^2-z^2+6 y+8 z-25=0\)
  3. C \(y^2+z^2-6 y-8 z+25=0\)
  4. D \(y^2+z^2-6 y-8 z-25=0\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(y^2+z^2-6 y-8 z+25=0\)

Step-by-step Solution

Detailed explanation

Given \(A=(2,3,4), B=(-2,3,4)\)…