AP EAMCET · Maths · Straight Lines
The incenter of the triangle formed by the points \((0,0,0),(3,0,0)\) and \((0,4,0)\) is
- A \((1,1,0)\)
- B \((-1,-1,0)\)
- C \((1,0,1)\)
- D \((-1,0,-1)\)
Answer & Solution
Correct Answer
(A) \((1,1,0)\)
Step-by-step Solution
Detailed explanation
Let \(A(0,0,0), B(3,0,0), C(0,4,0)\) Now, \[ \begin{aligned} & a=\sqrt{(0-3)^2+(4-0)^2+(0-0)^2}=B C \\ & a=\sqrt{25}=5 \end{aligned} \] and \(b=A C=\sqrt{0+4^2+0}=4\) and \(c=A B=\sqrt{3^2+0+0}=3\) Now, coordinate of incentre \((x, y, z)\) is given as…
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