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Two intersecting circles E and F have a common tangent which touches E at P and F at Q,These two Circles meet at M and N where N is closer than M to PQ. The line PN meets the circle E` again at R when extended. Prove that MQ bisects angle PMR

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I think there might be a typo in your question. Did you mean 'PN intersects circle "F" again at R' ?

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What you think it must be ?

You said circle E but I think it should be circle F

@Jack Frost – Anyway i want the solution ^_^

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Easy Math Editor

`*italics*`

or`_italics_`

italics`**bold**`

or`__bold__`

boldNote: you must add a full line of space before and after lists for them to show up correctlyparagraph 1

paragraph 2

`[example link](https://brilliant.org)`

`> This is a quote`

Remember to wrap math in \( ... \) or \[ ... \] to ensure proper formatting.`2 \times 3`

`2^{34}`

`a_{i-1}`

`\frac{2}{3}`

`\sqrt{2}`

`\sum_{i=1}^3`

`\sin \theta`

`\boxed{123}`

## Comments

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TopNewestI think there might be a typo in your question. Did you mean 'PN intersects circle "F" again at R' ?

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What you think it must be ?

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You said circle E but I think it should be circle F

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