Search for: The point on the curve y=12x−x2 where the tangent is parallel to x-axis, is The point on the curve y=12x−x2 where the tangent is parallel to x-axis, is A(0, 0)B(2,16)C(3, 9)D(6, 36) Fill Out the Form for Expert Academic Guidance!l Grade ---Class 1Class 2Class 3Class 4Class 5Class 6Class 7Class 8Class 9Class 10Class 11Class 12 Target Exam JEENEETCBSE +91 Preferred time slot for the call ---9 am10 am11 am12 pm1 pm2 pm3 pm4 pm5 pm6 pm7 pm8pm9 pm10pm Please indicate your interest Live ClassesBooksTest SeriesSelf Learning Language ---EnglishHindiMarathiTamilTeluguMalayalam Are you a Sri Chaitanya student? NoYes Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution:Let x1, y1 be the required point on y=12x−x2Then,dydxx1,y1=0⇒12−2x1=0⇒x1=6∵y=12x−x2⇒dydx=12−2xSince x1, y1 lies on y=12x−x2∴ y1=12x1−x12⇒y1=72−36=36Hence, ( 6, 36) is the required point Related content Human Heart Diagram Class 10 CBSE Class 7 Science Chapter 1 Nutrition in Plants MCQ Questions with Answers CBSE Class 9 English Worksheet – The Road not Taken 50+ GK Questions and Answers for Class 8 “Kabir Ki Sakhiyan” MCQ Questions for Class 9 Hindi with Answers Kshitij, Kritika, Sparsh, Sanchayan Bhag 1 CBSE Class 7 English Honeycomb Chapter 1 Three Questions MCQ Questions with Answers CBSE Class 9 English Beehive Book Poem 1 The Road Not Taken MCQ Questions with Answers MCQs Questions with Answers for Class 9 English Chapter 1 The Fun They Had CBSE Class 9 Tissue MCQs Female Reproductive System Diagram Class 10