The diameters of a circle are 2x+y-10=0, x+y=6 and 3x-ky+8=0 then the value of k is
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Answer:
value of k is x²+y²-2x+2y-23=0
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Answer:
2x+y-10=0________(i), x+y=6 _______(ii)
(i)-2(ii)
2x+y-10-2(x+y-6) =0
or, y-10-2y+12=0
or, -y=-2
or, y=2
now from (ii),
x+2=6
or, x=4
putting the value of x, y in the equation 3x-ky+8=0 we get,
3(4) -k2+8=0
or, 2k+12+8=0
or, k=(-10)
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