AP EAMCET · Maths · Circle
Suppose that the circle \(x^2+y^2+2 g x+2 f y+c=0\) has its centre on \(2 x+3 y-7=0\) and cuts the circles \(x^2+y^2-4 x-6 y+11=0\) and \(x^2+y^2-10 x-4 y+21=0\) orthogonally. Then \(5 g-10 f+3 c=\)
- A 0
- B 1
- C 3
- D 9
Answer & Solution
Correct Answer
(D) 9
Step-by-step Solution
Detailed explanation
The equation of given circle \(x^2+y^2+2 g x+2 f y+c=0\) ...(i) having centre \((-g,-f)\) lying on the line \(\begin{aligned} & 2 x+3 y-7=0 \\ & \text{so } 2 g+3 f+7=0 \quad \ldots (ii) \end{aligned}\) Since circle (i) cuts the given circles…
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