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=380&width=532&height=238&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e6f425d76b7ab31c379","slug":"the-tangent-to-a-given-curve-is-perpendicular-to-x","content":"The tangent to a given curve is perpendicular to x-axis if","options":[{"_id":"68a371397f15af4716b43c65","text":"\$\\frac{dy}{dx} = 0\$","sequence":0,"isCorrect":false},{"_id":"68a371397f15af4716b43c66","text":"\$\\frac{dy}{dx} = 1\$","sequence":1,"isCorrect":false},{"_id":"68a371397f15af4716b43c67","text":"\$\\frac{dx}{dy} = 0\$","sequence":2,"isCorrect":true},{"_id":"68a371397f15af4716b43c68","text":"\$\\frac{dx}{dy} = 1\$","sequence":3,"isCorrect":false}],"correct_answer":"$$\\frac{dx}{dy} = 0$","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":"ffda3ae5-1bf2-4ecc-b9ec-80d88be38ce2","updated_at":"2024-08-30T21:49:35.458Z","isStarred":false},"params":{"questionSlug":"the-tangent-to-a-given-curve-is-perpendicular-to-x"}}]}]]

Question: The tangent to a given curve is perpendicular to x-axis if...

Solution