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If common chord of cicles `x^(2)+y^(2)+5kx+2y+k=0` and `x^(2)+y^(2)+kx+(y)/(2)+(1)/(2)=0` is `4x-5y-k=0` then number of values of `k` is

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If common chord of cicles `x^(2)+y^(2)+5kx+2y+k=0` and `x^(2)+y^(2)+kx+(y)/(2)+(1)/(2)=0` is `4x-5y-k=0`
then number of values of `k` is
A. `0`
B. `1`
C. `2`
D. `3`
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Correct Answer - C
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