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Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesPosition of a pointMedium2 minQB

MathematicsMediumsingle choice

All points inside the triangle formed by $A (1, 3), B (5, 6), C (- 1, 2)$ will satisfy

Options:

Answer:

Solution:

$L_{1} \equiv 2 x + 2 y = 0 : L_{1} (1, 3) > 0$ , so (A) is wrong. $L_{2} \equiv 2 x + y + 1 = 0 : L_{2} (1, 3) > 0, L_{2} (5, 6) > 0$ , $L_{2} (- 1, 2) > 0$ , so (B) is true. $L_{3} \equiv 2 x + 3 y - 12 = 0 : L_{3} (- 1, 2) = - 8 < 0$ , so (C) is wrong.

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Position of a point

⏱ 2mℹ️ Source: QB

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