AP EAMCET · Maths · Straight Lines
The incentre of triangle formed by the lines \(x+y=1, x=1, y=1\) is
- A \(\left(1-\frac{1}{\sqrt{2}}, 1-\frac{1}{\sqrt{2}}\right)\)
- B \(\left(1-\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
- C \(\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
- D \(\left(\frac{1}{\sqrt{2}}+1, \frac{1}{\sqrt{2}}+1\right)\)
Answer & Solution
Correct Answer
(C) \(\left(\frac{1}{\sqrt{2}}, \frac{1}{\sqrt{2}}\right)\)
Step-by-step Solution
Detailed explanation
\[ \text { Given lines are, } \] \[ \begin{array}{rlrl} \therefore & A & =(1,0) \\ & B & =(0,1) \\ P & =(1,1) \\ \therefore & a & =B p=1 \\ b & =A p=1 \\ c & =A B=\sqrt{2} \end{array} \] Incentre of,…
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