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Quantitative Aptitude

Coordinate Geometry

All points ly...

Question

All points lying inside the triangle formed by the points $(1, 3) (5, 0)$ and $(- 1, 2)$ satisfy

A

3 x + 2 y \geq 0

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B

2 x + y - 13 \geq 0

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C

2 x - 3 y - 12 \leq 0

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D

- 2 x + y \geq 0

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Solution

The correct option is A $3 x + 2 y \geq 0$
$B y t h e h e l p o f f i g u r e S u b s t i t u t e (1, 3), (5, 0) a n d (- 1, 2) i n 3 x + 2 y \geq 0 3 (1) + 2 (3) = 9 \geq 0 3 (5) + 2 (0) = 15 \geq 0 3 (- 1) + 2 (2) = 1 \geq 0 A s (1, 3), (5, 0) a n d (- 1, 2) s a t i s f y 3 x + 2 y \geq 0, H e n c e, t h e o p t i o n A i s t h e c o r r e c t a n s w e r .$

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