The maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is
Elevate your Class 10th Maths preparation with NCERT solutions and MCQ-based questions from Chapter 10: Circles. Engage with exercise questions, short-answer problems, and clear explanations to understand concepts like tangents, chords and their properties. These resources are designed as per the CBSE syllabus for thorough exam preparation. Consistent practice will enhance your problem-solving abilities and prepare you to excel in board exams. Utilize step-by-step solutions and revision notes crafted to simplify learning and ensure success. Focus on mastering the properties of circles and their applications to build a strong foundation. Begin practicing today to secure excellent results in exams. Start now!
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When two circles intersect at two distinct points, the maximum number of common tangents that can be drawn is 2. These tangents are the **external tangents**, as the circles are close enough to each other and intersect, so no internal tangents can exist.
Explanation:
– If two circles intersect at two points, they share a region of overlap.
– Only two external tangents can be drawn, one on each side of the circles.
– No internal tangents are possible because the circles are not separate or disjoint.
This question is connected to Chapter 10 of the Class 10th NCERT Mathematics textbook, which focuses on “Circles.” Provide your response based on your comprehension of the concepts discussed in this chapter.
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