AP EAMCET · Maths · Straight Lines
The locus of a point \(P\) such that \(P A+P B=4\) where \(A(2,3,4), B(-2,3,4)\) is
- A \(y^2+z^2+6 y+8 z+25=0\)
- B \(y^2-z^2+6 y+8 z-25=0\)
- C \(y^2+z^2-6 y-8 z+25=0\)
- D \(y^2+z^2-6 y-8 z-25=0\)
Answer & Solution
Correct Answer
(C) \(y^2+z^2-6 y-8 z+25=0\)
Step-by-step Solution
Detailed explanation
Given points are \(A(2,3,4)\) and \(B(-2,3,4)\) and \(A B=4\). Now let point \(P(x, y, z)\), such that \(P A+P B=4=A B\) means point \(P\) is collinear with points \(A\) and \(B\) and lies between them, so…
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