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If the circle x^2+y^2=1 is completely co...

If the circle `x^2+y^2=1` is completely contained in the circle `x^2+y^2+4x+3y+k=0` , then find the values of `kdot`

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To solve the problem, we need to determine the values of \( k \) such that the circle defined by the equation \( x^2 + y^2 = 1 \) is completely contained within the circle defined by \( x^2 + y^2 + 4x + 3y + k = 0 \). ### Step 1: Identify the centers and radii of both circles. 1. **Circle 1**: The equation is \( x^2 + y^2 = 1 \). - Center \( C_1 = (0, 0) \) - Radius \( r_1 = 1 \) ...
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