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

In the following figure, XY = 10 cm and LT = 4 cm. Find the length of XT.

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प्रश्न

In the following figure, XY = 10 cm and LT = 4 cm. Find the length of XT.

बेरीज
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उत्तर

Given: XY = 10 cm and LT = 4 cm

Congruent tangent segments are those drawn from an exterior point to a circle.

Thus, XY = XZ = 10 cm

Similarly, LT = TZ = 4 cm

Now, XT = XZ – TZ

= 10 – 4

= 6 cm

Hence, the length of XT is 6 cm.

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Tangent Segment Theorem
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2025-2026 (March) Model set 1 by shaalaa.com

संबंधित प्रश्‍न

In the adjoining figure, O is the centre of the circle. From point R, seg RM and seg RN are tangent segments touching the circle at M and N. If (OR) = 10 cm and radius of the circle = 5 cm, then

  1. What is the length of each tangent segment?
  2. What is the measure of ∠MRO?
  3. What is the measure of ∠MRN?


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In the given figure, M is the centre of the circle and seg KL is a tangent segment.
If MK = 12, KL = \[6\sqrt{3}\] then find –
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But OB = OC = r   ...[`square`] (iii)

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AB = `square` = OB = OC = r

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