Consider the following statements :
1. Equations `ax+by+cz+d=0a'x+b'y+c'z+d'=0` represent a straigth line.
2. Equation of the form
`(x-alpha)/l=(y-beta)/m=(z-gamma)/n`
represent a straight line passing through the point `(alpha,beta,gamma)`and having direction ratio proportional to l,m,n.
Which of the statements given above is/are correct?

Options

A. 1 only
B. 2 only
C. Both 1 and 2
D. Neither 1 nor 2

Answer

C

Explanation

Equations
`ax+by+cz+d=0,a'x+b'y+c'z+d'=0`
represent a straight line and equation of the form
`(x-alpha)/l=(y-beta)/m=(z-y)/n`
represent a straight line passing through the point `(alpha,beta,gamma)` and having direction ratios proporttional to l,m,n. Thus, both statements are correct.