Search for: If x1 and x2 are the arithmetic and harmonic means of the roots of the equation ax2+bx+c=0, the equation whose quadratic roots are x1 and x2, isIf x1 and x2 are the arithmetic and harmonic means of the roots of the equation ax2+bx+c=0, the equation whose quadratic roots are x1 and x2, isAabx2+(b2+ac)x+bc=0B2abx2+(b2+4ac)x+2bc=0C2abx2+(b2+ac)x+bc=0DNone of the above 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:Let α and β be the roots of ax2+bx+c=0 x1=α+β2=−b2a x2=2αβα+β=2⋅ca−ba=−2cbThe required equation isx2−[(−b2a)+(−2cb)]x+2bc2ab=02abx2+(b2+4ac)x+2bc=0Post navigationPrevious: The following sets A={x:x is an integer, -12Next: sin8x+7sin6x+18sin4x+12sin2xsin7x+6sin5x+12sin3x=Related content 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 NEET Crash Course – NEET Crash Course 2023 JEE Advanced Crash Course – JEE Advanced Crash Course 2023