AP EAMCET · Maths · Straight Lines
To which point the origin is to be shifted in order to eliminate first powers of \(x\) and \(y\) (\(x^1\) and \(y^1\) terms) from the equation \(4 x^2+9 y^2-8 x+36 y+4=0\) ?
- A \((1,2)\)
- B \((-1,2)\)
- C \((1,-2)\)
- D \((-1,-3)\)
Answer & Solution
Correct Answer
(C) \((1,-2)\)
Step-by-step Solution
Detailed explanation
Given equation is \(\begin{aligned} & & 4 x^2+9 y^2-8 x+36 y+4 & =0 \\ \Rightarrow & & 4(x-1)^2+9(y+2)^2 & =36 \\ \Rightarrow & & \frac{(x-1)^2}{9}+\frac{(y+2)^2}{4} & =1 \end{aligned}\) If we shift the origin to \((l,-2)\), the equation reduce to…
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