AP EAMCET · Maths · Circle
The distance between the polar of \(P(2,3)\) with respect to the circle \(x^2+y^2-2 x-2 y+1=0\) and the polar of the inverse point of \(P\) with respect to the same circle is
- A 0
- B \(\frac{4}{\sqrt{5}}\)
- C \(\frac{12}{\sqrt{5}}\)
- D 1
Answer & Solution
Correct Answer
(B) \(\frac{4}{\sqrt{5}}\)
Step-by-step Solution
Detailed explanation
Equation of polar of point \(P(2,3)\) with respect to the circle \(x^2+y^2-2 x-2 y+1=0\) is \(\begin{aligned} & T=0 \Rightarrow 2 x+3 y-(x+2)-(y+3)+1=0 \\ & \Rightarrow \quad x+2 y-4=0 \quad \ldots (i) \end{aligned}\) End equation of line joining of points \(P(2,3)\) and centre…
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