TS EAMCET · Maths · Circle
If the equation of the circle passing through the points \((-1,0),(-1,1),(1,1)\) is \(a x^2+a y^2+2 g x+2 f y-2=0\) then \(a=\)
- A \(1\)
- B \(-1\)
- C \(2\)
- D \(-2\)
Answer & Solution
Correct Answer
(C) \(2\)
Step-by-step Solution
Detailed explanation
Substitute \((-1,0)\): \(a(-1)^2+a(0)^2+2g(-1)+2f(0)-2=0 \Rightarrow a-2g-2=0\) (1) Substitute \((-1,1)\): \(a(-1)^2+a(1)^2+2g(-1)+2f(1)-2=0 \Rightarrow 2a-2g+2f-2=0 \Rightarrow a-g+f-1=0\) (2) Substitute \((1,1)\):…
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