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Question 4

Mathematics Tangents and Normals Hard

The number of common tangents to the circle \(x^2+y^2=4\) and \(x^2+y^2-6x-8y=24\) is

(A) 0
(B) 1
(C) 3
(D) 4
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Centre and radius of the first circle are (0, 0) and 2. Centre and radius of the second circle are (3, 4) and 5. Both the circle touch internally, hence there will be only one common tangent.

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