If y = 4x is written in the form of ax + by + c = 0, then which of the following options represents the values of a, b and c respectively?

4, 0, 1

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0, 4 , 1

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4, -1, 0

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-4, 1, 0

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Solution

The correct options are
C 4, -1, 0
D -4, 1, 0
y = 4x can be rewritten as -4x + y = 0 or 4x - y = 0

On comparing -4x + y = 0 with
ax + by + c = 0, we get
a = -4
b = 1
c = 0
Or
On comparing 4x - y = 0 with
ax + by + c = 0, we get
a = 4
b = -1
c = 0
$∴$ -4, 1, 0 or 4, -1, 0 or are the values of a, b and c respectively.

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