State True or False for the statements
The equation of a line, which is parallel to
and 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!
48