Exemplar Exercise Problem XXII — task. Mathematics CBSE, Class 10.

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எங்கள் ஆசிரியர்களுடன் 1-ஆன்-1 ஆலோசனை நேரத்தைப் பெறுங்கள். டாப்பர் ஆவதற்கு நாங்கள் பயிற்சி அளிப்போம்

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The points

$A \left( x_1, y_1 \right)$ ,

$B \left( x_2, y_2 \right)$ and

$C \left( x_3, y_3 \right)$ are the vertices of the triangle

$ABC$ .

1. The median from A meets BC at D. Find the coordinates of the point D.

2. Find the coordinates of the point P on AD such that

$AP:PD = 2:1$

3. Find the coordinates of the points Q and R on median BE and CF, respectively such that

$BQ:QE = 2:1$ and

$CR:RF = 2:1$

4. What are the coordinates of the centroid of the triangle

$ABC$ ?

Answer:

The coordinates of the point D is

The coordinates of the point P is

The coordinates of the point Q is

The coordinates of the point R is

The coordinates of centroid of the triangle ABC is

Answer variants:

$\left( \frac{x_2+x_3}{2} , \frac{y_2+y_3}{2} \right)$

$\left( \frac{ x_2+x_3 + x_1}{3} , \frac{ y_2+y_3+y_1} {3} \right)$

$\left( \frac{ x_1+x_2 + x_3}{3} , \frac{ y_1+y_2+y_3} {3} \right)$

$\left( \frac{ x_1+x_3 + x_2}{3} , \frac{ y_1+y_3+y_2} {3} \right)$

$\left( \frac{ x_1+x_2 + x_3}{3} , \frac{ y_1+y_2+y_3} {3} \right)$

Did you find an error?

43. Exemplar Exercise Problem XXII