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Question

If a chord of a circle x2+y2=32 makes equal intercepts of length l on the co-ordinate axes, then

A
<8
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B
<16
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C
>8
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D
>16
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Solution

The correct option is A <8
Since the chord makes equal intercepts of length l on coordinate axes, so the equation can be written as :-
x±y=±l
The length of from centre (0,0) to the chord must be less than radius
±l2 > 32
l2<64
l<8

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