st","extracted_subject":"MATH","extracted_chapter":"CIRCLE AND SYSTEM OF CIRCLES","extracted_topic":"SYSTEM OF CIRCLES","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1810.png?top_left_x=532&top_left_y=0&width=532&height=246&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e70425d76b7ab31dab7","slug":"if-mi-1mi-i-1-2-3-4-are-four-distinct-points-on-a-","content":"If (mi, 1/mi), i = 1, 2, 3, 4 are four distinct points on a circle then m₁. m₂. m₃. m₄ =","options":[{"_id":"68e0318f8c3e555ae9ee7d07","text":"0","sequence":0,"isCorrect":false},{"_id":"68e0318f8c3e555ae9ee7d08","text":"1","sequence":1,"isCorrect":true},{"_id":"68e0318f8c3e555ae9ee7d09","text":"–1","sequence":2,"isCorrect":false},{"_id":"68e0318f8c3e555ae9ee7d0a","text":"–2","sequence":3,"isCorrect":false}],"correct_answer":"1","explanation":"Let circle be x² + y² + 2gx + 2fy + c = 0\n\nPutting (mi, 1/mi)\n\nmi² + \\(\\frac { 1 } { \\mathrm { mi } ^ { 2 } }\\)+ 2gmi + ![](https://cdn.pureessence.tech/canvas_612.png?top_left_x=1289&top_left_y=826&width=178&height=300)+ c = 0\n\nЮ mi⁴ + 2gmi³ + cmi² + 2f mi + 1 = 0\n\nЮ m₁, m₂, m₃, m₄\n\nProduct of roots = 1","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:36.970Z","__v":0,"vector_store_id":"dc741601-6257-4d10-aabf-e411aee6269f","updated_at":"2024-08-30T21:49:36.970Z","isStarred":false},"params":{"questionSlug":"if-mi-1mi-i-1-2-3-4-are-four-distinct-points-on-a-"}}]}]]

Question: If (mi, 1/mi), i = 1, 2, 3, 4 are four distinct points on a circle then m<sub>1</sub>. m<sub>2</sub>...

Solution