TS EAMCET · Maths · Circle
If the inverse point of the point \(P(3,3)\) with respect to the cirele \(x^2+y^2-4 x+4 y+4=0\) is \(Q(a, b)\), then \(a+5 b=\)
- A 4
- B 0
- C -4
- D 1
Answer & Solution
Correct Answer
(C) -4
Step-by-step Solution
Detailed explanation
Given equation of circle is \(x^2+y^2-4 x+4 y+4=0\) \(\begin{aligned} & \therefore \text { Centre } O(2,-2) \\ & \text { Radius }=2 \end{aligned}\) \(\therefore\) Equation of \(O P\) is \(y+2=\frac{3+2}{3-2}(x-2) \Rightarrow y=5 x-12\) Since it passes through ( \(c, b\) )…
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