AP EAMCET · Maths · Straight Lines
The point to which the origin is to be shifted to eliminate \(x\) and \(y\) terms of the equation \(4 x^2+9 y^2-8 x+36 y+4=0\) is
- A \((1,3)\)
- B \((-4,3)\)
- C \((-1,2)\)
- D \((1,-2)\)
Answer & Solution
Correct Answer
(D) \((1,-2)\)
Step-by-step Solution
Detailed explanation
\(h = -\frac{D}{2A} = -\frac{-8}{2(4)}\) \(h = 1\) \(k = -\frac{E}{2C} = -\frac{36}{2(9)}\) \(k = -2\) \((1,-2)\)
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