AP EAMCET · Maths · Pair of Lines
In order to eliminate the first degree terms from the equation \(2 x^2+4 x y+5 y^2-4 x-22 y+7=0\), the point to which origin is to be shifted, is
- A \((1,-3)\)
- B \((2,3)\)
- C \((-2,3)\)
- D \((1,3)\)
Answer & Solution
Correct Answer
(C) \((-2,3)\)
Step-by-step Solution
Detailed explanation
Given equation is \(2 x^2+4 x y+5 y^2-4 x-22 y+7=0\) Here, \(a=2, b=5, c=7, h=2, g=-2, f=-11\) To eliminate 1st degree terms origin is to be shifted to the point \(\left(\frac{h f-b g}{a b-h^2}, \frac{g h-a f}{a b-h^2}\right)\)…
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