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    Question

    ABC is an isosceles triangle where AB = AC which is

    circumscribed about a circle. If P is the point where the circle touches the side BC, then which of the following is true?
    A BP = PC Correct Answer Incorrect Answer
    B BP > PC Correct Answer Incorrect Answer
    C BP < PC Correct Answer Incorrect Answer
    D BP = 1/2PC Correct Answer Incorrect Answer

    Solution

    we know that PA = PB here is Given that AB = AC if AL = x and LB = K then AB = x + K then AC will be = x + K if AL = x, LB = K then BP = K [ ∵ AL = AM] So AM = x, So MC = k as we Know AB = AC If MC = k then PC = K and LB = K then BP = K Means PC = BP

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