Question : Two circles with their centres at O and P and radii 8 cm and 4 cm respectively touch each other externally. The length of their common tangent is:

Option 1: 8.5 cm

Option 2: $\frac{8}{\sqrt{2}}$ cm

Option 3: $8\sqrt{2}$ cm

Option 4: 8 cm

Question : Two circles with radii of 25 cm and 9 cm touch each other externally. The length of the direct common tangent is:

Option 1: 34 cm

Option 2: 30 cm

Option 3: 36 cm

Option 4: 32 cm

Question : In two circles centred at O and O’, the distance between the centres of both circles is 17 cm. The points of contact of a direct common tangent between the circles are P and Q. If the radii of both circles are 7 cm and 15 cm, respectively, then the length of PQ is equal to:

Option 1: 15 cm

Option 2: 17 cm

Option 3: 10 cm

Option 4: 22 cm

Question : Two circles of radii 10 cm and 8 cm intersect and the length of the common chord is 12 cm. Then the distance between their centres is:

Option 1: 10 cm

Option 2: 8 cm

Option 3: 13.3 cm

Option 4: 15 cm

Question : Two circles of diameters 10 cm and 6 cm have the same centre. A chord of the larger circle is a tangent of the smaller one. The length of the chord is:

Option 1: 4 cm

Option 2: 8 cm

Option 3: 6 cm

Option 4: 10 cm