Statement 1: |
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 |
Statement 1: |
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 |
(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