Two circles touching externally with given radii: length of the direct common tangent
The same question, asked 7 times: 18 Jul 2023 S1*, 24 Jul 2023 S3*, 25 Jul 2023 S1*, 25 Jul 2023 S3*, 26 Jul 2023 S1*, 10 Sep 2024 S1*, 12 Sep 2024 S1. Every wording below, oldest first.
Try each one first, then open its answer.
Question 1
18 Jul 2023 S1
75Two circles of radii 10 cm and 5 cm touch each other externally at a point A. PQ is the direct common tangent of those two circles of centres and , respectively. The length of PQ is equal to:Tap an option to check your answer.
Question 2
24 Jul 2023 S3
54Two circles with radii 22 cm and 16 cm touch each other externally. The length of the direct common tangent is:Tap an option to check your answer.
Question 3
25 Jul 2023 S1
64In the following figure, there are two circles that touch each other externally. The radius of the first circle with centre P is 25 cm. The radius of the second circle with centre Q is 4 cm. Find the length of their direct common tangent AB.Tap an option to check your answer.
Question 4
25 Jul 2023 S3
67Two circles touch each other externally. The radius of the first circle with centre O is 6 cm. The radius of the second circle with centre P is 3 cm. Find the length of their common tangent AB.Tap an option to check your answer.
Question 5
26 Jul 2023 S1
52There are two circles that touch each other externally. Radius of the first circle with centre O is 12 cm. Radius of the second circle with centre A is 8 cm. Find the length of their common tangent BC.Tap an option to check your answer.
Question 6
10 Sep 2024 S1
59Two circles of radii 18 cm and 12 cm touch each other externally. Find the length (in cm) of their direct common tangent.Tap an option to check your answer.
Question 7
12 Sep 2024 S1
74Two circles and touch each other externally. The radius of cm and the radius of cm. Find the length (in cm) of their common tangent.Tap an option to check your answer.