st","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_1802.png?top_left_x=532&top_left_y=1086&width=532&height=243&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e70425d76b7ab31d9d2","slug":"the-equation-of-a-tangent-to-the-circle-xsup2sup-y","content":"The equation of a tangent to the circle x² + y² = 25 passing through (–2, 11) is –","options":[{"_id":"68a938287f15af4716d3ea2d","text":"4x + 3y = 25","sequence":0,"isCorrect":true},{"_id":"68a938287f15af4716d3ea2e","text":"7x – 24y = 320","sequence":1,"isCorrect":false},{"_id":"68a938287f15af4716d3ea2f","text":"3x + 4y = 38","sequence":2,"isCorrect":false},{"_id":"68a938287f15af4716d3ea30","text":"24x + 7y + 125 = 0","sequence":3,"isCorrect":false}],"correct_answer":"4x + 3y = 25","explanation":"![](https://cdn.pureessence.tech/canvas_71.png?top_left_x=1397&top_left_y=323&width=300&height=242)\n\nx² + y² = 25 ..... (i)\n\nP(– 2, 11)\n\nEq. of PT₁ & PT₂\n\ñ \\(\\begin{matrix}\ny–11 = m(x + 2)\n\\end{matrix}\\) ..... (ii)\n\nIf line (ii) touches the circle then ̃ \\(\\begin{matrix}\nCT_{1} = r\n\\end{matrix}\\)  m = ?","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:36.918Z","__v":0,"vector_store_id":"d6bc2a85-8e0b-4a82-88dd-42eca5f72daf","updated_at":"2024-08-30T21:49:36.918Z","isStarred":false},"params":{"questionSlug":"the-equation-of-a-tangent-to-the-circle-xsup2sup-y"}}]}]]

Question: The equation of a tangent to the circle x<sup>2</sup> + y<sup>2</sup> = 25 passing through (–2, 11) ...

Solution