Consider the following statements:1) The length p of the perpendicular form the origin to the line ax + by = c satisfies the origin to the relation \({{\rm{p}}^2} = \frac{{{{\rm{c}}^2}}}{{{{\rm{a}}^2} + {{\rm{b}}^2}}}\)2) The length p the perpendicular from the origin to the line \(\frac{{\rm{x}}}{{\rm{a}}} + \frac{{\rm{y}}}{{\rm{b}}} = 1\) satisfies the relation \(\frac{1}{{{{\rm{p}}^2}}} = \frac{1}{{{{\rm{a}}^2}}} + \frac{1}{{{{\rm{b}}^2}}}\)3) The length p of the perpendicular from the origin to the line y = mx + c satisfies the relation \(\frac{1}{{{{\rm{p}}^2}}} = \frac{{1 + {{\rm{m}}^2} + {{\rm{c}}^2}}}{{{{\rm{c}}^2}}}\)Which of the above is/are correct?

Consider the following statements:1) The length p of the perpendicular

1.	Consider the following statements:1) The length p of the perpendicular form the origin to the line ax + by = c satisfies the origin to the relation \({{\rm{p}}^2} = \frac{{{{\rm{c}}^2}}}{{{{\rm{a}}^2} + {{\rm{b}}^2}}}\)2) The length p the perpendicular from the origin to the line \(\frac{{\rm{x}}}{{\rm{a}}} + \frac{{\rm{y}}}{{\rm{b}}} = 1\) satisfies the relation \(\frac{1}{{{{\rm{p}}^2}}} = \frac{1}{{{{\rm{a}}^2}}} + \frac{1}{{{{\rm{b}}^2}}}\)3) The length p of the perpendicular from the origin to the line y = mx + c satisfies the relation \(\frac{1}{{{{\rm{p}}^2}}} = \frac{{1 + {{\rm{m}}^2} + {{\rm{c}}^2}}}{{{{\rm{c}}^2}}}\)Which of the above is/are correct?
A.	1, 2 and 3
B.	1 only
C.	1 and 2 only
D.	2 only
Answer» D. 2 only