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A(7, -3), B(5, 3) and C(3, -1) are the v...

A(7, -3), B(5, 3) and C(3, -1) are the vertices of a `Delta ABC` and AD is its median. Prove that the median AD divides `Delta ABC` into two triangles of equal areas.

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RS AGGARWAL-COORDINATE GEOMETRY-Exercise 6C
  1. If A(-7, 5), B(-6, -7), C(-3, -8) and D(2, 3) are the vertices of a qu...

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  2. Find the area of the triangle formed by joining the midpoints of the s...

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  3. A(7, -3), B(5, 3) and C(3, -1) are the vertices of a Delta ABC and AD ...

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  4. Find the area of Delta ABC with A(1, -4) and midpoints of sides throug...

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  5. A(6, 1), B(8, 2) and C(9, 4) are the vertices of a parallelogram ABCD....

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  6. (i) If the vertices of Delta ABC be A(1, -3), B(4, p) and C(-9, 7) and...

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  7. Find the value of k so that the area of the triangle with vertices A(k...

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  8. For what value of k(k gt 0) is the area of the triangle with vertices ...

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  9. Show that the following points are collinear: (i) A(2, -2), B(-3, 8...

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  10. Find the value of x for which the points A(x, 2), B(-3, -4) and C(7, -...

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  11. For what value of x are the points A(-3, 12), B(7, 6) and C(x, 9) coll...

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  12. For what value of y are the points P(1, 4), Q(3, y) and R(-3, 16) are ...

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  13. Find the value of y for which the points A(-3, 9), B(2, y) and C(4, -5...

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  14. For what values of k are the points A(8, 1), B(3, -2k) and C(k, -5) co...

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  15. Find a relation between x and y, if the points A(2, 1), B(x, y) and C...

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  16. Find a relation between x and y, if the points A(x, y), B(-5, 7) and C...

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  17. Prove that the points A(a, 0), B(0, b) and C(1, 1) are collinear, if (...

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  18. If the points P(-3, 9), Q(a, b) and R(4, -5) are collinera and a+b = 1...

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  19. Find the area of Delta ABC with vertices A(0, -1), B(2, 1) and C(0, 3)...

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  20. If a ne b ne c, "prove that" (a, a^(2)), (b, b^(2)), (0, 0) will not b...

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