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A circle has its centre at (4, 4). If one end of a diameter is (4, 0), then the coordinates of the other end are ______.

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Question

A circle has its centre at (4, 4). If one end of a diameter is (4, 0), then the coordinates of the other end are ______.

Options

  • (0, 4)

  • (4, 8)

  • (4, –8)

  • (–4, –8)

MCQ
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Solution

A circle has its centre at (4, 4). If one end of a diameter is (4, 0), then the coordinates of the other end are (4, 8).

Explanation:

The centre bisects the diameter, so the other end is \((2 \times 4 - 4, 2 \times 4 - 0) = (4, 8)\).

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Chapter 13: Section and Mid-point Formulae - COMPETENCY-FOCUSED QUESTIONS [Page 213]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 13 Section and Mid-point Formulae
COMPETENCY-FOCUSED QUESTIONS | Q 28. | Page 213
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