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  1. Two circles are of radii 7 cm and 2 cm their centres being 13cm apart. Then the length of direct common tangent to the circles between the points of contact is
    1. 12 cm
    2. 15 cm
    3. 10 cm
    4. 5 cm
Correct Option: A

As per the given in question , we draw a figure of two circles with radii 7 cm and 2 cm ,

As we know that , Direct common tangent = √(Distance between two centres)² - (r1 - r2
Direct common tangent = √(C1C2)² -(r1 - r2
Direct common tangent = √(13)² - (7 - 2)²
Direct common tangent = √169 - 25
Direct common tangent = √144 = 12 cm.



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