Search for: The coordinates of the point on the ellipse 16×2+9y2=400 where the ordinate decreases at the same rate at which the abscissa increases, are The coordinates of the point on the ellipse 16x2+9y2=400 where the ordinate decreases at the same rate at which the abscissa increases, are A(3 , 16/3) B(-3 , 16/3)C(3 ,-16/3) D (3 ,-3) 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:We have, 16x2+9y2=400⇒ 32xdxdt+18ydydt=0 [Differentiating w.r.t. t] ⇒ 32xdxdt−18ydxdt=0 ∵−dydt=dxdt (given) ⇒ 16x−9y=0⇒ y=16x9∴ 16x2+9y2=400⇒16x2+2569x2=400⇒x=±3Now y=169x and x=±3⇒y=±163Hence , the required points are (3 ,16/3) and (-3 ,-16/3) Related content CBSE Class 10 English Dust of Snow Worksheet CBSE Class 7 English Honeycomb Chapter 2 A Gift of Chappals MCQ Questions with Answers Top Career Option and Courses after 12th 2024: Arts, Commerce & Science Students CBSE Class 7 English MCQ Questions with Answers CBSE Class 12 English Lost Spring MCQ with Answers Heron’s Formula Class 9 Worksheet Maths Chapter 12 CBSE Class 12 English The Last Lesson MCQ with Answers Was NEET 2024 Paper Leaked? Check NTA Official Press Release CBSE Class 10 English Chapter 1 Worksheets -A Letter to God Disaster Management Project for Class 9