test","extracted_subject":"MATH","extracted_chapter":"CIRCLE AND SYSTEM OF CIRCLES","extracted_topic":"TANGENT AND NORMAL TO A CIRCLE","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1801.png?top_left_x=1064&top_left_y=363&width=532&height=246&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e70425d76b7ab31d9b7","slug":"how-many-common-tangents-can-be-drawn-to-the-follo","content":"How many common tangents can be drawn to the following circles x² + y² = 6x andx² + y² + 6x + 2y + 1 = 0","options":[{"_id":"68a39cd37f15af4716bbaae9","text":"4","sequence":0,"isCorrect":true},{"_id":"68a39cd37f15af4716bbaaea","text":"3","sequence":1,"isCorrect":false},{"_id":"68a39cd37f15af4716bbaaeb","text":"2","sequence":2,"isCorrect":false},{"_id":"68a39cd37f15af4716bbaaec","text":"1","sequence":3,"isCorrect":false}],"correct_answer":"4","explanation":"C₁(3, 0) r₁ = 3\n\nC₂(–3, –1) r₂ = 3\n\nC₁C₂ = \\(\\sqrt { 36 + 1 }\\) = \\(\\sqrt { 37 }\\) \n\nC₁C₂ \\> \\|r₁ + r₂\\|\n\nŽ 4 common tangents","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:36.915Z","__v":0,"vector_store_id":"3a47a3fe-af9c-4ee1-9213-de71d6ef2c86","updated_at":"2024-08-30T21:49:36.915Z","isStarred":false},"params":{"questionSlug":"how-many-common-tangents-can-be-drawn-to-the-follo"}}]}]]

Question: How many common tangents can be drawn to the following circles x<sup>2</sup> + y<sup>2</sup> = 6x an...

Solution