State True or False for the statements

The equation of a line, which is parallel toand which passes through the point (5, –2,4), is.

False

We know that, equation of a line in Cartesian form is

Where, a, b and c are direction ratios and (x₁, y₁, z₁) is a particular point on the line.

Given, line is parallel to , therefore it has direction ratio as 2, 1 and 3

i.e. a = 2, b = 1, c = 3

And lines pass through (5, -2, 4)

Putting values, we get equation of line as

Which doesn’t match the given equation of line!