Consider the following statements: 1. The length p of the perpendicular from the origin to the line ax+by=c satisfies the relation p^2=c^2/{a^2+b^2} 2. The length p of the perpendicular from the origin to the line x/a+y/b=1 satisfies the relation 1/p^2=1/a^2+1/b^2. 3. The length of the perpendicular from the origin to the line y=mx+c satisfies the relation 1/p^2={1+m^2+c^2}/c^2 Which of the above is/are correct? [NDA I 2018]

Correct Answer is : 1 and 2 only

NDA Math Coordinate System and Straight Line

Question : 41 of 92

Marks: +1, -0

Consider the following statements:
1. The length p of the perpendicular from the origin to the line ax+by=c satisfies the relation p2=

a2+b2

2. The length p of the perpendicular from the origin to the line

=1 satisfies the relation

.
3. The length of the perpendicular from the origin to the line y=mx+c satisfies the relation

1+m2+c2

Which of the above is/are correct?

[NDA I 2018]

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