Search for: MathematicsThe pair of linear equations 2x+ky=k, 4x+2y=k+1 has infinitely many solutions if The pair of linear equations 2x+ky=k, 4x+2y=k+1 has infinitely many solutions if Ak=1 Bk≠1 Ck=2 Dk=4 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:The given equation are2x+ky-k=0 4x+2y-(k+1)=0 Here, a1=2, b1=k, c1=-k.And a2=4,b2=2,c2=-(k+1).For the system to have infinite solutions,a1a2=b1b2=c1c2 Here, 24=k2=-k-(k+1) Taking,24=k2 ⇒ 4k=4 ⇒ k=1Taking,k2=-k-(k+1) ⇒ k+1=2⇒ k=1 Hence, the correct option is 1. Related content Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics