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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesAngle bisectorsMedium2 minQB

MathematicsMediumsingle choice

Passage / Comprehension

In triangle $A BC, A = (3, 4)$ and the internal angle bisectors at $B, C$ are $L_{1} : x + y - 2 = 0$ and $L_{2} : 2 x + y - 5 = 0$ . Let $A_{1}$ be the reflection of $A$ in $L_{1}$ .

Find the inradius of $△ A BC$ .

Options:

Answer:

Solution:

The incentre is $L_{1} \cap L_{2} = (3, - 1)$ . The side $BC$ is $3 x - y + 5 = 0$ , so the inradius is $15/ 10 = 310 /2$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Angle bisectors

⏱ 2mℹ️ Source: QB

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