AP EAMCET · Maths · Straight Lines
A point which lies on the circle passing through the points \((1,1),(-6,0),(-2,2)\) is
- A \((1,-6)\)
- B \((9,1)\)
- C \((-2,-8)\)
- D \((1,2)\)
Answer & Solution
Correct Answer
(C) \((-2,-8)\)
Step-by-step Solution
Detailed explanation
Let the equation of the circle be \( x^2+y^2+2gx+2fy+c=0 \). Using points: \( (1,1): 1+1+2g+2f+c=0 \implies 2g+2f+c=-2 \) \( (-6,0): 36+0-12g+c=0 \implies -12g+c=-36 \) \( (-2,2): 4+4-4g+4f+c=0 \implies -4g+4f+c=-8 \) Solving system: From \( -12g+c=-36 \implies c=12g-36 \).…
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