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Q.

The two concentric circles are of radii 5cm and 3cm. The length of the chord of the larger circle which touches the smaller circle is

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a

6 cm

b

2 cm

c

10 cm

d

8 cm

answer is C.

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Detailed Solution

O A = O B = 5 cm

$O P = 3 cm$

Question Image

$O P ⊥ A B (radius ⊥ tangent)$

$O P$ bisects $A B$ chord

$A P^{2} = O A^{2} - O P^{2}$

$A P^{2} = 5^{2} - 3^{2}$

$A P = 4 = B P$

$∴ A B = 8 cm$

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