test","extracted_subject":"MATH","extracted_chapter":"DIFFRENTIATION AND APPLICATIONS OF DERIVATIVES","extracted_topic":"DIFFERENTIATION OF IMPLICIT FUNCTION, PARAMETRIC AND COMPOSITE FUNCTIONS","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1627.png?top_left_x=0&top_left_y=618&width=532&height=276&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e6f425d76b7ab31c37a","slug":"the-angle-of-intersection-of-the-two-curves-xy-asu","content":"The angle of intersection of the two curves\n\nxy = a² and x² + y² = 2a² is","options":[{"_id":"68a371be7f15af4716b45aab","text":"\$\\frac{\\pi}{6}\$","sequence":0,"isCorrect":false},{"_id":"68a371be7f15af4716b45aac","text":"\$\\frac{\\pi}{4}\$","sequence":1,"isCorrect":false},{"_id":"68a371be7f15af4716b45aad","text":"\$\\frac{\\pi}{3}\$","sequence":2,"isCorrect":true},{"_id":"68a371be7f15af4716b45aae","text":"None of these","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac{\\pi}{3}$","explanation":"xy = a², x² + y² = 2a²\n\npoint of intersection (a, a) (– a, – a)\n\nxy = a² x² + y² = 2a²\n\ndy/dx = –y/x dy/dx = –x/y\n\nat(a, a) at(a, a)\n\nm₁ = –1 m₂ = –1","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:35.458Z","__v":0,"vector_store_id":"e00a6796-d480-4178-a253-f746f77157d2","updated_at":"2024-08-30T21:49:35.458Z","isStarred":false},"params":{"questionSlug":"the-angle-of-intersection-of-the-two-curves-xy-asu"}}]}]]

Question: The angle of intersection of the two curves xy = a<sup>2</sup> and x<sup>2</sup> + y<sup>2</sup> = ...

Solution