AP EAMCET · Maths · Three Dimensional Geometry
The locus of a point at which the line joining the points \((-3,1,2),(1,-2,4)\) subtends a right angle, is
- A \(x^2+y^2+z^2+2 x+y-6 z-3=0\)
- B \(x^2+y^2+z^2+2 x-y-6 z+3=0\)
- C \(x^2+y^2+z^2+2 x+y-6 z+3=0\)
- D \(x^2+y^2+z^2-2 x+y-6 z+3=0\)
Answer & Solution
Correct Answer
(C) \(x^2+y^2+z^2+2 x+y-6 z+3=0\)
Step-by-step Solution
Detailed explanation
\((x-(-3))(x-1) + (y-1)(y-(-2)) + (z-2)(z-4) = 0\) \((x+3)(x-1) + (y-1)(y+2) + (z-2)(z-4) = 0\) \((x^2+2x-3) + (y^2+y-2) + (z^2-6z+8) = 0\) \(x^2+y^2+z^2+2x+y-6z+3 = 0\)
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