Question
Question: Equation of largest chord of circle x<sup>2</sup> + y<sup>2</sup> – 2x +2y – 2 = 0 which cuts equal ...
Equation of largest chord of circle x2 + y2 – 2x +2y – 2 = 0 which cuts equal intercepts on positive x and y axis is
A
x – y = 2
B
y = – x
C
y = 2x
D
None
Answer
y = – x
Explanation
Solution
Slope of line = – 1
Largest chord is diameter i.e. equation of line through centre (1, –1) is
(y + 1) = – 1 (x – 1)
Ž y = – x