class 9 th exercise 6.1 question number 5.​

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class 9 th exercise 6.1 question number 5.​

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Iris 2 weeks 2021-09-05T06:02:37+00:00 1 Answer 0 views 0

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    2021-09-05T06:04:36+00:00

    Step-by-step explanation:

    Solution:

    In the question, it is given that (OR ⊥ PQ) and POQ = 180°

    So, POS+ROS+ROQ = 180°

    Now, POS+ROS = 180°- 90° (Since POR = ROQ = 90°)

    ∴ POS + ROS = 90°

    Now, QOS = ROQ+ROS

    It is given that ROQ = 90°,

    ∴ QOS = 90° +ROS

    Or, QOS – ROS = 90°

    As POS + ROS = 90° and QOS – ROS = 90°, we get

    POS + ROS = QOS – ROS

    2 ROS + POS = QOS

    Or, ROS = ½ (QOS – POS) (Hence proved).

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