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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesIntersection of linesEasy2 minQB

MathematicsEasymultiple choice

The triangle formed by the lines $x + y = 0, 3 x + y - 4 = 0$ and $x + 3 y - 4 = 0$ is

Options:(select one or more)

Answer:

A, D

Solution:

Vertices: $(2, - 2), (- 2, 2), (1, 1)$ . Sides: $32, 10, 10$ , so the triangle is isosceles. At (1, 1) the vectors to the other vertices are (1, -3) and (-3, 1); dot product $= - 6 < 0$ , so that angle is obtuse.

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

⏱ 2mℹ️ Source: QB

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