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प्रश्न
Four points A (6, 3), B (−3, 5), C (4, −2) and D (x, 3x) are given in such a way that \[\frac{\Delta DBC}{\Delta ABC} = \frac{1}{2}\]. Find x.
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उत्तर
We know that the area of a triangle with vertices \[\left( x_1 , y_1 \right), \left( x_2 , y_2 \right)\text{ and }\left( x_3 , y_3 \right)\] is given by:
It is given that \[\frac{\Delta DBC}{\Delta ABC} = \frac{1}{2}\].
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