TS EAMCET · Maths · Circle
A rectangle is formed by the lines \(x=4, x=-2, y=5\), \(y=-2\) and a circle is drawn through the vertices of this rectangle. The pole of the line \(y+2=0\) with respect to this circle is
- A \(\left(1, \frac{-85}{14}\right)\)
- B \(\left(1, \frac{-32}{7}\right)\)
- C \((-2,-2)\)
- D \((1,-4)\)
Answer & Solution
Correct Answer
(B) \(\left(1, \frac{-32}{7}\right)\)
Step-by-step Solution
Detailed explanation
Equation of circle in diametrical form \(\begin{aligned} & (x-4)(x+2)+(y-5)(y+2)=0 \\ & \Rightarrow x^2+y^2-2 x-3 y-18=0\end{aligned}\) Let \((h, k)\) be the pole of \(y+2=0\) with respect to circle Then equation of polar \(\mathrm{T}=0\)…
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