TS EAMCET · Maths · Circle
Let the centre of the circle \(\mathrm{S}=0\) lie on the line \(x+y-5=0\) and also lie in the first quadrant. If this circle touches both the lines \(x-2=0\) and \(y-5=0\), then the area of the circle is
- A \(\pi\) sq. units
- B \(2 \pi\) sq. units
- C \(4 \pi\) sq. units
- D \(\frac{1}{4} \pi\) sq. units
Answer & Solution
Correct Answer
(A) \(\pi\) sq. units
Step-by-step Solution
Detailed explanation
Given a circle \(5=0\) whose centre lies on the line \(\mathrm{x}+\mathrm{y}-5=0\) Let the centre of circle -be,\((h, k)\) So, \((h, 5)\) and \((2, k)\) also Satisfy the equation of circle. Equation of circle is \((x-4)^2+(y-k)^2=r^2\). Satisfy the points (h, 5) and…
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