मराठी

In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the centre of the circle, then length OP = ?

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प्रश्न

In a circle of radius 7 cm, tangent PT is drawn from a point P such that PT = 24 cm. If O is the centre of the circle, then length OP = ?

पर्याय

  • 30 cm

  • 28 cm

  • 25 cm

  • 18 cm

MCQ
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उत्तर

25 cm

Explanation:

OT = 7 cm (radius) and PT = 24 cm (tangent).

OT is perpendicular to PT, so triangle OTP is right-angled at T.

By Pythagoras, OP2 = OT2 + PT2 

= 72 + 242

= 49 + 576

= 625

Hence OP = `sqrt(625)`

= 25 cm

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पाठ 8: Circles - MULTIPLE-CHOICE QUESTIONS (MCQ) [पृष्ठ ४९९]

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आर. एस. अग्रवाल Mathematics [English] Class 10
पाठ 8 Circles
MULTIPLE-CHOICE QUESTIONS (MCQ) | Q 3. | पृष्ठ ४९९
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