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When two circles of radii r1 and r2 have their centres at a distance d apart, then length of the common transverse tangent is:

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SSC CGL 2023 Tier-I Official Paper (Held On: 25 Jul 2023 Shift 1)
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  1. \(\sqrt{d^2 - (r_1 - r_2)^2}\)
  2. \(\sqrt{d^2 + (r_1 - r_2)^2}\)
  3. \(\sqrt{d - (r_1 - r_2)^2}\)
  4. \(\sqrt{d^2 - (r_1 + r_2)^2}\)

Answer (Detailed Solution Below)

Option 4 : \(\sqrt{d^2 - (r_1 + r_2)^2}\)
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Detailed Solution

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Given:

Radius of 1st circle = r1

Radius of 2nd circle = r2

Distance between the centre of circle = d

Calculation:

Length of common transverse tangent = \(\sqrt{d^2 - (r_1 + r_2)^2}\)

∴ The correct option is 4.

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Last updated on Jun 2, 2025

-> The SSC Exam Dates 2025 has been released on the official website.

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