TS EAMCET · Maths · Pair of Lines
In order to eliminate the first degree terms from the equation \(4 x^2+8 x y+10 y^2-8 x-44 y+14=0\) the point to which the origin has to be shifted is
- A \((-2,3)\)
- B \((2,-3)\)
- C \((1,-3)\)
- D \((-1,3)\)
Answer & Solution
Correct Answer
(A) \((-2,3)\)
Step-by-step Solution
Detailed explanation
On comparing the given equation with \[ \begin{aligned} & a x^2+2 h x y+b y^2+2 g x+2 f y+c=0, \text { we get } \\ & a=4, h=4, b=10, g=-4, f=-22 \text { and } c=14 \end{aligned} \] For removal of first degree terms, shift the origin to…
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