A) 0
B) 5
C) \[-5\]
D) 2
Correct Answer: B
Solution :
Equation of director circle of ellipse\[\frac{{{x}^{2}}}{4}\,+{{y}^{2}}=1\,\] is \[{{x}^{2}}+{{y}^{2}}=5\] or \[{{x}^{2}}+{{y}^{2}}-5=0\] ?(1) If above circle in equation (1) intersects orthogonally the circle \[{{x}^{2}}+{{y}^{2}}\,-2x-4y+k=0,\] then \[k-5=0\Rightarrow \,k=5\] (Using condition of orthogonality of two circle)You need to login to perform this action.
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