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The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. The median from A meets BC at D. Find the coordinates of the point D. - Mathematics

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प्रश्न

The points A(x1, y1), B(x2, y2) and C(x3, y3) are the vertices of ∆ABC. The median from A meets BC at D. Find the coordinates of the point D.

योग

उत्तर

According to the question,

The vertices of ΔABC = A, B and C

Coordinates of A, B and C = A(x1, y1), B(x2, y2), C(x3, y3)

As per given information D is the mid-point of BC and it bisect the line into two equal parts.

Coordinates of the mid-point of BC;

BC = `((x_2 + x_3)/2, (y_2 + y_3)/2)`

⇒ D = `((x_2 + x_3)/2, (y_2 + y_3)/2)`

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अध्याय 7: Coordinate Geometry - Exercise 7.4 [पृष्ठ ८६]

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एनसीईआरटी एक्झांप्लर Mathematics [English] Class 10
अध्याय 7 Coordinate Geometry
Exercise 7.4 | Q 3.(i) | पृष्ठ ८६

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