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Find the lengths of the medians of a Del...

Find the lengths of the medians of a `Delta ABC` whose vertices are A(0, -1), B(2, 1) and C(0, 3).

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The correct Answer is:
`AD = sqrt(10)` units, BE = 2 units, `CF = sqrt(10)` units
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RS AGGARWAL-COORDINATE GEOMETRY-Exercise 6B
  1. In what ratio is the line segment joining the points A(-2, -3) and B(...

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  2. In what ratio does the line x - y - 2= 0 divide the line segment joini...

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  3. Find the lengths of the medians of a Delta ABC whose vertices are A(0,...

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  4. Find the centroid of Delta ABC whose vertices are A(-1, 0), B(5, -2) a...

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  5. If G(-2, 1) is the centroid of a DeltaABC and two of its vertices are ...

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  6. Find the third vertex of a Delta ABC if two of its vertices are B(-3, ...

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  7. Show that the points A(3, 1), B(0, -2), C(1, 1) and D(4, 4) are the ve...

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  8. If the points P(a, -11), Q(5, b), R(2, 15) and S(1, 1) are the vertice...

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  9. If three consecutive vertices of a parallelogram are (1,\ -2),\ (3,...

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  10. In what ratio does y-axis divide the line segment joining the points (...

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  11. If the point P((1)/(2), y) lies on the line segment joining the points...

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  12. Find the ratio in which the line segment joining the points A(3, -3) a...

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  13. The base QR of an equilateral triangle PQR lies on x-axis. The coordin...

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  14. The base BC of an equilateral triangle ABC, lies on y-axis. The coordi...

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  15. Find the ratio in which the point P(-1, y) lying on the line segment j...

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  16. ABCD is rectangle formed by the points A(-1, -1), B(-1, 4), C(5, 4) an...

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  17. The midpoint P of the line segment joining the points A(-10, 4) and B(...

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  18. A line intersects the Y- axis at the points P and Q,, respectively. If...

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  19. In what ratio does the point (( 24)/(11) , y) divide the line segment...

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  20. The midpoints of the sides BC, CA and AB of a Delta ABC are D(3, 4), E...

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