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If the line y=sqrt(3)x+k touches the cir...

If the line `y=sqrt(3)x+k` touches the circle `x^2+y^2=16 ,` then find the value of `kdot`

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To solve the problem, we need to determine the value of \( k \) such that the line \( y = \sqrt{3}x + k \) touches the circle given by the equation \( x^2 + y^2 = 16 \). ### Step-by-Step Solution: 1. **Identify the Circle's Properties**: The equation of the circle is \( x^2 + y^2 = 16 \). This can be rewritten in standard form as: \[ (x - 0)^2 + (y - 0)^2 = 4^2 ...
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