test","extracted_subject":"MATH","extracted_chapter":"CONIC SECTIONS","extracted_topic":"PARABOLA","questionPreviewUrl":"https://cdn.pureessence.tech/question-previews/packed_canvases/canvas_1825.png?top_left_x=1064&top_left_y=0&width=532&height=248&app=solveeit"},"seo_metadata":{"keywords":[]},"doubt_solver_data":{"concept_summary":[]},"embeddings":[],"is_hidden":false,"_id":"66d23e71425d76b7ab31dd08","slug":"if-p-atsub1subsup2sup-2atsub1sub-and-q-atsub2subsu","content":"If P (at₁², 2at₁) and Q (at₂², 2at₂) are two variable points on the curve y² = 4ax and PQ subtends a right angle at the vertex, then t₁t₂ is equal to –","options":[{"_id":"68a3d2a87f15af4716c4d53e","text":"– 1","sequence":0,"isCorrect":false},{"_id":"68a3d2a87f15af4716c4d53f","text":"– 2","sequence":1,"isCorrect":false},{"_id":"68a3d2a87f15af4716c4d540","text":"– 3","sequence":2,"isCorrect":false},{"_id":"68a3d2a87f15af4716c4d541","text":"– 4","sequence":3,"isCorrect":true}],"correct_answer":"– 4","explanation":"m₁m₂ (of AP and AQ) = – 1\n\ñ 2/t₁.2/t₂ = – 1 \\\\ t₁t₂ = – 4\n\n![](https://cdn.pureessence.tech/canvas_119.png?top_left_x=1382&top_left_y=795&width=300&height=204)","question_type":"single_choice","appeared_in":[],"created_at":"2024-08-30T21:49:37.122Z","__v":0,"vector_store_id":"64efde05-77df-4b60-89b8-738c2cc37af4","updated_at":"2024-08-30T21:49:37.122Z","isStarred":false},"params":{"questionSlug":"if-p-atsub1subsup2sup-2atsub1sub-and-q-atsub2subsu"}}]}]]

Question: If P (at<sub>1</sub><sup>2</sup>, 2at<sub>1</sub>) and Q (at<sub>2</sub><sup>2</sup>, 2at<sub>2</sub...

Solution