TS EAMCET · Maths · Three Dimensional Geometry
The locus of the point \(P(\mathbf{r})\) which encloses a triangle \(A B P\) of area l sq. unit with the fixed points \(A(\hat{\mathbf{i}})\) and \(B(\hat{\mathbf{j}})\) is
- A \(x^2+y^2+z^2=4\)
- B \((x+2)^2+x^2+y^2=1\)
- C \((x+y-1)^2+2 z^2=4\)
- D \((x+y-1)^2+y^2+z^2=1\)
Answer & Solution
Correct Answer
(C) \((x+y-1)^2+2 z^2=4\)
Step-by-step Solution
Detailed explanation
Let point \(P(\mathbf{r})\) is \(x \hat{\mathbf{i}}+y \hat{\mathbf{j}}+z \hat{\mathbf{k}}\) and \(A(\hat{\mathbf{i}})\) and \(B(\hat{\mathbf{j}})\)…
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