In the given figure, PR =

(a) 20 cm

(b) 26 cm

(c) 24 cm

(d) 28 cm

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Solution

We know that the radius will always be perpendicular to the tangent at the point of contact.

Therefore,

Hence we have,

Also,

OO’ = sum of the radii of the two circles

OO’ = 3 + 5

OO’ = 8

Since radius is perpendicular to the tangent, . Therefore,

PR = PO + OO’ + O’R

PR = 5 + 8 + 13

PR =26

Therefore, option (b) is correct.

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In the given figure, PR = (a) 20 cm (b) 26 cm (c) 24 cm (d) 28 cm

In the given figure, PR =

(a) 20 cm

(b) 26 cm

(c) 24 cm

(d) 28 cm