Question

for what value of k for which the pair of equations 2x+ky+3=0 ,4x+6y-5=0 represent parrallel lines​

Answer 1

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Answer 2

CONDITION OF PARALLEL LINES IS A1/A2= B1/B2 NOT = C1/C2

HERE, A1= 2 , A2= 4 , B1= K , B2= 6 , C1= 3 , C2= -5

SO, A1/ A2 = B1/ B2 NOT= C1/ C2

2/ 4= K/6 NOT = 3/ -5

1. 2. 3

FROM 1 AND 2

2/4= K/ 6

4K= 12

K= 3

FROM 2 AND 3

K/ 6 NOT = 3/-5

5K NOT= 18

K NOT = 18/5

SO, K= 3 AND K NOT= 18/5