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If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?
Most Upvoted Answer
If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the valu...
Since the lines are parallel-
a1/a2=b1/b2is not equal to c1/c2,
k-1/5=1/-4,
-4k+4=5,
k=-1/4
a1/a2=b1/b2is not equal to c1/c2,
k-1/5=1/-4,
-4k+4=5,
k=-1/4
Community Answer
If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the valu...
5x-4y=12. equ 1
(k-1)x+y=8. equ 2
from equ 1
-4y=12-5x
y=(12/-4)+(-5x/-4)
y=(5x/4)-3
we get value of slope 1=5/4
from equ 2
(k-1)x+y=8
y=8-(k-1)x
we get value of slope 2=-(k-1)
if lines are in parallel then, slope1=slope2
i.e. 5/4=-(k-1)
5/4=1-k
-k=(5/4)-1
by taking L.C.M
-k=(5-4)/4
-k=1/4
both side divide by -1
k=-(1/4)
(k-1)x+y=8. equ 2
from equ 1
-4y=12-5x
y=(12/-4)+(-5x/-4)
y=(5x/4)-3
we get value of slope 1=5/4
from equ 2
(k-1)x+y=8
y=8-(k-1)x
we get value of slope 2=-(k-1)
if lines are in parallel then, slope1=slope2
i.e. 5/4=-(k-1)
5/4=1-k
-k=(5/4)-1
by taking L.C.M
-k=(5-4)/4
-k=1/4
both side divide by -1
k=-(1/4)
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If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?
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If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?.
If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If(k-1)x +y=8 and 5x-4y=12 represent parallel lines then find the value of k?.
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