st","extracted_subject":"MATH","extracted_chapter":"CIRCLE AND SYSTEM OF CIRCLES","extracted_topic":"CHORD OF CONTACT OF TANGENT, POLE AND POLAR","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_2251.png?top_left_x=1064&top_left_y=1587&width=532&height=319&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e74425d76b7ab321657","slug":"f-length-of-common-chord-of-two-circles-xsup2sup-y","content":"f length of common chord of two circles\n\nx² + y² + 8x + 1 = 0 and x² + y² + 2my –1 = 0 is \\(2\\sqrt{6}\\), then value of m are","options":[{"_id":"68a37c037f15af4716b64cc9","text":"±2","sequence":0,"isCorrect":false},{"_id":"68a37c037f15af4716b64cca","text":"±3","sequence":1,"isCorrect":true},{"_id":"68a37c037f15af4716b64ccb","text":"±4","sequence":2,"isCorrect":false},{"_id":"68a37c037f15af4716b64ccc","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"±3","explanation":"Common chord is S₁ – S₂ = 0\n\n4x – my + 1 = 0\n\n\\\\ AC =\\(\\sqrt{15}\\)\n\n![](https://cdn.pureessence.tech/canvas_287.png?top_left_x=0&top_left_y=1198&width=300&height=200)\n\nAM = \\(\\frac{AB}{2}\\)= \\(\\sqrt{6}\\)\n\n\\\\ CM = 3\n\n\\\\ \\(\\frac{| - 16 + 1|}{\\sqrt{16 + \\mu^{2}}}\\)= 3\n\nŽ m = ±3","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:40.813Z","__v":0,"vector_store_id":"8355b65b-8a3c-4356-b1ca-812db5bc2c2a","updated_at":"2024-08-30T21:49:40.813Z","isStarred":false},"params":{"questionSlug":"f-length-of-common-chord-of-two-circles-xsup2sup-y"}}]}]]

Question: f length of common chord of two circles x<sup>2</sup> + y<sup>2</sup> + 8x + 1 = 0 and x<sup>2</sup...

Solution