Search for: If the equations 2ax2−3bx+4c=0 and 3×2−4x+5=0 have a common root, then (a+b)/(b+c) is equal to (a,b,c∈R) If the equations 2ax2−3bx+4c=0 and 3x2−4x+5=0 have a common root, then (a+b)/(b+c) is equal to (a,b,c∈R)A12B335C3431D2931 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:Since, the second equation has imaginary roots. ∴ 2a3=−3b−4=4c5=k⇒ a=3k2,b=4k3,c=5k4∴ a+bb+c=3k2+4k34k3+5k4=3431Post navigationPrevious: A value of b for which the equations x2+bx−1=0 and x2+x+b=0 have one root in common, isNext: ∫xcosx+12x3esinx+x2dxRelated content 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 NEET Crash Course – NEET Crash Course 2023