Length of Intercept Made by a Circle on a Straight Line
If a chord of...
Question
If a chord of the circle x2+y2=8 makes equal intercepts a on the coordinate axes, then
A
|a|<2
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B
|a|≤2√2
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C
|a|<4
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D
|a|<√2
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Solution
The correct option is C|a|<4 Circle: x2+y2=8=(2√2)2
centre,C=(0,0); radius,r=2√2
Equation of chord is xa+ya=1⇒x+y=a ∴ perpendicular distance from C to the above line < radius ⇒|a|√12+12<2√2⇒|a|<4