Transverse common tangent, square of length = d squared - (r1 + r2) squared (alone or with the direct one)
This type of question, asked 6 times: 25 Jul 2023 S1, 10 Sep 2024 S3, 25 Sep 2024 S1, 15 Sep 2025 S1, 18 Sep 2025 S1, 24 Sep 2025 S2. All 7 questions below, oldest first.
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Question 1
25 Jul 2023 S1
73When two circles of radii and have their centres at a distance d apart, then length of the common transverse tangent is:Tap an option to check your answer.
Question 2
10 Sep 2024 S3
72The radii of two circle are 5 cm and 10 cm and the distance between their centres is 17 cm. Find the length of the transverse common tangent.Tap an option to check your answer.
Question 3
10 Sep 2024 S3
75If the length of a common external tangent to two circles is 9 and that of a common internal tangent is 5, then the product of the radii of the two circles is:Tap an option to check your answer.
Question 4
25 Sep 2024 S1
59The centres of two circles are 36 cm apart. If the radii of these two circles are 15 cm and 9 cm, respectively, then what is the sum of the lengths (in cm) of a direct common tangent and a transverse common tangent of these two circles?Tap an option to check your answer.
Question 5
15 Sep 2025 S1
73The distance between the centers of two circles is . The lengths of their direct and transverse common tangents are and , respectively. If and the sum of the squares of their radii is 100, what is the value of ?Tap an option to check your answer.
Question 6
18 Sep 2025 S1
70A common internal tangent connecting two circles is 9 cm long. The distance between the circles' centers is 15 cm. If the larger circle has a radius of 8 cm, what is the radius of the smaller circle?Tap an option to check your answer.
Question 7
24 Sep 2025 S2
71The radii of two circles are 6 cm and 2 cm. The centers of the two circles are 10 cm apart. What is the length of a transverse common tangent?Tap an option to check your answer.