Search for: sin2θ=(x+y)24xy, where x,y∈R, gives real θ if and only ifsin2θ=(x+y)24xy, where x,y∈R, gives real θ if and only ifAx+y=0Bx=yC|x|=|y|≠0Dnone of these Register to Get Free Mock Test and Study Material +91 Verify OTP Code (required) I agree to the terms and conditions and privacy policy. Solution: We know that0≤sin2θ≤1⇒0≤(x+y)24xy≤1⇒0≤(x+y)2≤4xy [∵4xy>0]⇒(x−y)2≤0⇒x=yThus, we have x=y and xy>0∴ |x|=|y|≠0Post navigationPrevious: If cos(θ+ϕ)=mcos(θ−ϕ),then tanθ is equal toNext: If tanθtanπ3+θtan−π3+θ=ktan3θ, then the value of k, is Related content JEE Advanced 2023 NEET Rank Assurance Program | NEET Crash Course 2023 JEE Main 2023 Question Papers with Solutions JEE Main 2024 Syllabus Best Books for JEE Main 2024 JEE Advanced 2024: Exam date, Syllabus, Eligibility Criteria JEE Main 2024: Exam dates, Syllabus, Eligibility Criteria JEE 2024: Exam Date, Syllabus, Eligibility Criteria NCERT Solutions For Class 6 Maths Data Handling Exercise 9.3 JEE Crash Course – JEE Crash Course 2023