Question

the value of K for which the equation 3x-y+8=0 and 6x+ky= -16 represent coincident lines,is

Answer 1

Answer : –2

3x-y+8=0

3x= y–8 .....(i)

[Varify: y–8–y+8=0]

Substituting this value into following equation:

6x+ky= –16

3x.2+ky= –16

(y–8)2+ky= –16

2y–16+ky= –16

y(2+k)= –16+16

y(2+k)= 0

2+k=0

k= –2

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