Multiple choice

(\text{Two circles are of radius 7cm and 2cm their centres being 13 cm apart. Then the length of direct common tangent to the circles between the points of contact is:-})

  1. 18 cm

  2. 12cm

  3. 15 cm

  4. 20cm

  5. 16cm
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

For two circles with radii r₁=7 cm and r₂=2 cm, distance between centers d=13 cm. Length of direct common tangent = √(d² - (r₁ - r₂)²) = √(13² - (7-2)²) = √(169 - 25) = √144 = 12 cm.

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