The incentre of a triangle formed by the lines is (0, 0)

Statement 2:

Any point equidistant from the given three non-concurrent straight lines in the plane is incentre of the triangle

a)

Statement 1 is True, Statement 2 is True; Statement 2 is correct explanation for Statement 1

b)

Statement 1 is True, Statement 2 is True; Statement 2 is not correct explanation for Statement 1

c)

Statement 1 is True, Statement 2 is False

d)

Statement 1 is False, Statement 2 is True

1 Answer

127 votes

Answer Key / Explanation : (c) -

(c)

Statement 2 is false as point satisfying such property can be ex-centre of the triangle. However, statement 1 is true as (0,0) is at distance from all the lines and it lies inside the triangle