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Equation of a Plane : Vector Form

Find the equa...

Question

Find the equation of a line passing through the point (2, 3) and parallel to the line $3 x - 4 y + 5 = 0$ .

A

4 x - 3 y + 6 = 0

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B

3 x - 4 y + 6 = 0

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C

3 x + 3 y - 6 = 0

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D

None of these

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Solution

The correct option is B $3 x - 4 y + 6 = 0$
Any line parallel to $3 x - 4 y + 5 = 0$ will be of the form $3 x - 4 y + c = 0$

since this line passes through $(2, 3)$

we should have $6 - 12 + c = 0$ $\Rightarrow c = 6$

equation of line parallel to $3 x - 4 y + 5 = 0$ and passing through $(2, 3)$ is $3 x - 4 y + 6 = 0$ .

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