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If a chord of a the circle x^(2)+y^(2) =...

If a chord of a the circle `x^(2)+y^(2) = 32` makes equal intercepts of length of l on the co-ordinate axes, then

A

`l in (-8, 8)`

B

`l in (-4sqrt(2), 4 sqrt(2))`

C

`l in (0. 8)`

D

`l in (-8, 0)`

Text Solution

Verified by Experts

The correct Answer is:
A
The equations of lines making equal intercepts of length l on the coordinate axes are ` x pm y = pm l`.
This will be a chord of the circle `x^(2)+y^(2)=32`, if Length of the perpendicular from the centre is less than radius
i.e. `|(pm l)/(sqrt(1+1))|lt 4 sqrt(2)rArr |l| lt 8 rArr l in (-8, 8)`
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