Search for: If each pair of the equation x2+ax+b=0,x2+bx+c=0 and x2+cx+a=0 has a common root, then product of all common roots isIf each pair of the equation x2+ax+b=0,x2+bx+c=0 and x2+cx+a=0 has a common root, then product of all common roots isAabcB2abcCab+bc+caD2ab+bc+ca 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 the roots be α,β,β,γ and γ,α then,αβ=b, βγ=c and γα=a⇒αβγ=abcPost navigationPrevious: If at least one root of 2×2+3x+5=0 and ax2+bx+c=0,a,b,c∈N is common, then the maximum value of a+ b +c isNext: If the equation 2×2+3x+5λ=0 and x2+2x+3λ=0 have a common root, then λ s equal toRelated 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