Two circles are of radii 7 cm and 2 cm, their centres being 13 cm apart. Then the length of direct common tangent to the circles between the points of contact is

12 cm

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15 cm

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10 cm

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5 cm

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Solution

The correct option is A 12 cm

There is a direct formula for such questions
$\sqrt{d^{\circ} - (l r_{1} - r_{2})^{2}} \sqrt{(13)^{2} - (2 - 1)^{2}} \sqrt{13^{2} - 5^{2}} = \sqrt{144} = 12$

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