Search for: If sin−1x+sin−1y+sin−1z=3π2 and f(1)=2,f(p+q)=f(p)⋅f(q),∀p,q∈R then xf(1)+yf(2)+zf(3)−(x+y+z)xf(1)+yf(2)+zf(3) is equal to If sin−1x+sin−1y+sin−1z=3π2 and f(1)=2,f(p+q)=f(p)⋅f(q),∀p,q∈R then xf(1)+yf(2)+zf(3)−(x+y+z)xf(1)+yf(2)+zf(3) is equal to A0B1C2D3 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:∵−π2≤sin−1x≤π2,−π2≤sin−1y≤π2and −π2≤sin−1z≤π2Given that sin−1x+sin−1y+sin−1z=3π2which is possible only whensin−1x=sin−1y=sin−1z=π2⇒x=y=z=1put p=q=1then, f(2)=f(1)f(1)=2⋅2=4and put p=1,q=2then f(3)=f(1)f(2)=2⋅22=8∴ xf(1)+yf(2)+zf(3)−x+y+zxf(1)+yf(2)+zf(3)=1+1+1−31+1+1=3−1=2 Related content CBSE Class 11 English Core Writing and Grammar – Tenses Worksheet Top 10 Maths Project for Class 6 Class 10 Maths MCQs How to Download NTA NEET Admit Card 2024 Rashi And Nakshatra Quiz CBSE MCQ for Class 10 Science Genes – Definition, Structure, Diagram and its Types Octal to Binary Converter Km to cm Conversion mm to km Conversion