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Incentre of a triangle from its vertices

This type of question, asked 4 times: 2 May 2023 S2, 4 May 2023 S2, 13 May 2024 S2, 15 May 2026 S1. All 4 questions below, oldest first.

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  1. Question 1

    2 May 2023 S2

    147
    The incentre of the triangle whose vertices are P(0,3,0)P(0,3,0), Q(0,0,4)Q(0,0,4) and R(0,3,4)R(0,3,4) is

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  2. Question 2

    4 May 2023 S2

    111
    The incentre of the triangle ABC, whose vertices are A(0,2,1),B(−2,0,0)A(0,2,1), B(-2,0,0) and C(−2,0,2)C(-2,0,2) is

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  3. Question 3

    13 May 2024 S2

    136
    The incentre of the triangle ABC, whose vertices are A(0,2,1),B(−2,0,0)A(0,2,1), B(-2,0,0) and C(−2,0,2)C(-2,0,2), is

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  4. Question 4

    15 May 2026 S1

    96
    The Incenter of the triangle whose vertices are A(0,3,0)A(0, 3, 0), B(0,0,4)B(0, 0, 4), and C(0,3,4)C(0, 3, 4) is;

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