AP EAMCET · Maths · Straight Lines
When the axes are rotated through an angle \(\theta\) about origin in anticlockwise direction and then translated to the new origin \((2,-2)\), if the transformed equation of the equation of \(\mathrm{x}^2+\mathrm{y}^2=4\) is \(\mathrm{X}^2+\mathrm{Y}^2+\mathrm{aX}+\mathrm{bY}+\mathrm{c}=0\) then \(\mathrm{a}+\mathrm{b}+\mathrm{c}=\)
- A \(4\)
- B \(8\)
- C \(0\)
- D \(12\)
Answer & Solution
Correct Answer
(A) \(4\)
Step-by-step Solution
Detailed explanation
\((X+2)^2+(Y-2)^2=4\) \(X^2+4X+4+Y^2-4Y+4=4\) \(X^2+Y^2+4X-4Y+4=0\) \(a=4, b=-4, c=4\) \(a+b+c = 4-4+4 = 4\)
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