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Condition for Concurrency of Three Lines

The points -3...

Question

The points (-3, 2), (2, -1) and (a, 4) are collinear. Find a.

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Solution

Given, points A (-3, 2), B (2, -1) and C (a, 4) are collinear.

Slope of AB = Slope of BC

$fraction numerator negative 1 minus 2 over denominator 2 plus 3 end fraction equals fraction numerator 4 plus 1 over denominator a minus 2 end fraction fraction numerator negative 3 over denominator 5 end fraction equals fraction numerator 5 over denominator a minus 2 end fraction minus 3 a plus 6 equals 25 a equals fraction numerator negative 19 over denominator 3 end fraction$

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Condition for Concurrency of Three Lines

Standard X Mathematics

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