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Question -

Find the equation of a line passing through (3, -2) and perpendicular to the line x – 3y + 5 = 0.



Answer -

Given:

The equation isperpendicular to x – 3y + 5 = 0 and passes through (3,-2)

The equation of theline perpendicular to x − 3y + 5 = 0 is

3x + y + λ =0,

Where, λ isa constant.

It passes through(3, − 2).

Substitute the valuesin above equation, we get

3 (3) + (-2) +λ = 0

9 – 2 + λ =0

λ = – 7

Now, substitute thevalue of λ = − 7 in 3x + y + λ = 0, we get

3x + y – 7 = 0

The required line is3x + y – 7 = 0.

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