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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS. - Geometry Mathematics 2

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प्रश्न

In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find PS and RS.

In the given figure, ray PQ touches the circle at point Q. PQ = 12, PR = 8, find the length of seg PS.

बेरीज
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उत्तर

Using tangent secant segments theorem, we have

PQ2 = PR × PS

∴ (12)= 8 × PS

PS = `144/8` 

= 18 units

∴ RS = PS − PR

= 18 − 8

∴ RS = 10 units

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Notes

Students should refer to the answer according to the question.

  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 3: Circle - Practice Set 3.5 [पृष्ठ ८२]

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बालभारती Mathematics 2 [English] Standard 10 Maharashtra State Board
पाठ 3 Circle
Practice Set 3.5 | Q 1 | पृष्ठ ८२
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