Mathematics - Straight Lines Question with Solution | TestHub

MathematicsStraight LinesPosition of a pointMedium2 minQB
MathematicsMediumsingle choice

Statement 1: The intersection of the lines AB and CD, where A=(2,3), B=(-1,2), C=(-2,1) and D=(3,4), is an interior point of segment AB. Statement 2: A and B lie on opposite sides of the line CD.

Options:

Answer:
A
Solution:

CD is 3x-5y+11=0. At A and B its values are 2 and -2, respectively. Opposite signs mean AB crosses CD at an interior point. Both statements are true, and Statement 2 explains Statement 1.

Stream:JEESubject:MathematicsTopic:Straight LinesSubtopic:Position of a point
⏱ 2mℹ️ Source: QB

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