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!


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