If the join of two points $(x_{1}, y_{1}) a n d (x_{2}, y_{2})$ makes an obtuse angle with the point $(x_{3}, y_{3})$ , then $(x_{3} - x_{1}) (x_{3} - x_{2}) + (y_{3} - y_{1}) (y_{3} - y_{2})$ is

positive

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negative

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zero

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data insufficient

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Solution

The correct option is B negative

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Similar questions

(x_{1}, y_{1}) a n d (x_{2}, y_{2})

(x_{3}, y_{3})

(x_{3} - x_{1}) (x_{3} - x_{2}) + (y_{3} - y_{1}) (y_{3} - y_{2})

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})

\frac{y_{2} - y_{3}}{x_{2} x_{3}} + \frac{y_{3} - y_{1}}{x_{3} x_{1}} + \frac{y_{1} - y_{2}}{x_{1} x_{2}} = 0

x_{1}, x_{2}, x_{3}

y_{1}, y_{2}, y_{3}

(x_{1}, y_{1}), (x_{2}, y_{2})

(x_{3}, y_{3})

Find the centroid of the triangle with vertices A $(x_{1}, y_{1})$ , B $(x_{2}, y_{2})$ and C $(x_{3}, y_{3})$ .

x_{1}, x_{2}, x_{3}

y_{1}, y_{2}, y_{3}

(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{3}, y_{3})

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