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Line ℓ touches a circle with centre O at point P. If radius of the circle is 9 cm, answer the following. If d(O, Q) = 8 cm, where does the point Q lie? - Geometry Mathematics 2

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Question

Line ℓ touches a circle with center O at point P. If the radius of the circle is 9 cm, answer the following.

If d(O, Q) = 8 cm, where does the point Q lie?

Sum

Solution

Here, 8 cm < 9 cm

∴ d(O, Q) < d(O, P)

∴ d(O, Q) < radius

∴ Point Q lies in the interior of the circle.

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