AP EAMCET · Maths · Straight Lines
When the origin is shifted to \((2,3)\) the transformed equation \(x^2+3 x y-2 y^2+17 x-7 y-11=0\), then the original equation of curve is
- A \(x^2-2 y^2-3 x y+4 x-y+20=0\)
- B \(x^2-2 y^2+3 x y+4 x-y-20=0\)
- C \(x^2-2 y^2-3 x y-4 x-y+20=0\)
- D \(x^2-2 y^2-3 x y+4 x-y-20=0\)
Answer & Solution
Correct Answer
(B) \(x^2-2 y^2+3 x y+4 x-y-20=0\)
Step-by-step Solution
Detailed explanation
It is given that the origin is shifted to point \((2,3)\) and due to that the transformed equation of the curve is, \(x^2+3 x y-2 y^2+17 x-7 y-11=0\), to get the original equation of curve, replace \((x, y)\) by \((x-2, y-3)\), so by doing this. we get,…
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