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Two tangents from an external point are equal

This type of question, asked 3 times: 17 Sep 2025 S1, 18 Sep 2025 S2, 23 Sep 2025 S3. All 3 questions below, oldest first.

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  1. Question 1

    17 Sep 2025 S1

    73
    From an outside point P, two tangents, PA and PB, are drawn to a circle. Given that the length of PA is 12 cm, what is the length of PB?

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  2. Question 2

    18 Sep 2025 S2

    74
    From a point outside a circle, two tangents are drawn to the circle. If one of the tangents measures 12 cm, what is the length of the other tangent?

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  3. Question 3

    23 Sep 2025 S3

    75
    From an outside point P, two tangents, PA and PB, are drawn to a circle.A third tangent to the circle at a point Q intersects PA and PB at R and S respectively. If PA=10 cm, what is the perimeter of △PRS\triangle PRS?

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