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  1. A and B are centres of two circles of radii 11 cm and 6 cm, respectively. PQ is a direct common tangent to the circles. If AB = 13 cm, then length of PQ will be
    1. 8.5 cm
    2. 13 cm
    3. 12 cm
    4. 17 cm
Correct Option: C

As per the given in question , we draw a figure of two circles of radii 11 cm and 6 cm

Here , AB = 13 cm
PQ = √AB² - (r1 - r2
PQ = √13² - (11 - 6)²
PQ = √13² - 5² = √169 - 25
PQ = √144 = 12 cm.



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