SSC CHSL 6 Dec 2015 Shift 2 Paper

Question : 133 of 200

Marks: +1, -0

The distance between centers of two circles of radii 3 cm and 8 cm is 13 cm. If the points of contact of a direct common tangent to the circles are P and Q, the length of the line segment PQ is:

11.9 cm
11.5 cm
12 cm
11.58 cm

Validate

Solution:

Two circles having radii

{r}_1

and

{r}_2

and distance between them d
Length of direct common tangent PQ =

√{d^2-(r_2-r_1)^2

√{(13)^2 − (8 − 3)^ 2}

√{169-25}=√144=12

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