Search for: MathematicsThe pair of equations 3x+4y=k, 9x+12y=6 has infinitely many solutions if The pair of equations 3x+4y=k, 9x+12y=6 has infinitely many solutions if Ak=2 Bk=6 Ck ≠ 6 Dk=3 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 equations are,3x+4y-k=0 9x+12y-6=0 Here, a1=3,b1=4,c1=-k,And, a2=9,b2=12,c2=-6.For the system to have infinite solutions condition is a1a2=b1b2=c1c2 Here, 39=412=-k-6⇒ 412=-k-6 ⇒13=-k-6 ⇒ 3k=6 ⇒ k=2 Hence, the correct option is 1. Related content Matrices and Determinants_mathematics Critical Points Solved Examples Type of relations_mathematics