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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesIntersection of linesMedium2 minQB

MathematicsMediumsingle choice

Find the following. $A (1, 3)$ and $C (- \frac{2}{5}, - \frac{2}{5})$ are the vertices of a $△ A BC$ and the equation of the angle bisector of $∠ A BC$ is $x + y = 2$ . Coordinates of vertex B is

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Answer:

Solution:

By solving $7 x + 3 y + 4 = 0$ and $x + y = 2 : 7 x + 3 (2 - x) + 4 = 0 \Rightarrow 4 x = - 10 \Rightarrow x = - \frac{5}{2}, y = \frac{9}{2}$ . Vertex $B (- \frac{5}{2}, \frac{9}{2})$ .

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Intersection of lines

⏱ 2mℹ️ Source: QB

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