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25. Show that points

A (a, b + c),            B (b, c + a),         C (c, a + b) are collinear.

0 8 Views | Posted 4 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    4 months ago

    The area of triangle from by the given points is area ( ΔABC) = 12 |ab+c1bc+a1ca+b1|

    =12|a+b+c+1b+c1b+c+a+1c+a1c+a+b+1a+b1|C1→ C1 + C2 + C3

    =12 (a+b+c+1)|1b+c11c+a11a+b1| Taking (a + b + c + 1) common from C1

    = (a+b+c+1)2×0  {? c=c3}

    = 0

    Hence the points A, B C are collinear.

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