Question

1 point
Q14
14. If the pair of equations 8x + 2y = 5k and
4x + y = 3 represent coincident lines then
(a) k = -5/6
(b) k = 6/5
(c) k = 5/6
(d) k = -6/5​

Answer 1

Step-by-step explanation:

for coincident lines a1/a2 = b1/b2 = c1/2 .............1

a1 = 8, b1 = 2 ,c1 = -5k

a2 = 4 , b2 = 1 , c2 = -3

now applying condition 1, we get

a1/a2 = c1/c2

=> 8/4 = -5k/-3

=> 2 = 5k/3 [ on cross multiplication ]

=> 6 = 5k

=> k = 6/5 option b