AP EAMCET · Maths · Straight Lines
If the axes are transformed to the point (− 1,1), then the equation
\(3 x^2+y^2+2 x+4 y+15=0\) would transform
- A \(3 x^2+2 y^2-4 x+6 y+23=0\)
- B \(3 x^2+y^2-4 x+6 y+21=0\)
- C \(3 x^2+y^2+4 x-6 y-21=0\)
- D \(3 x^2+y^2+4 x+6 y+21=0\)
Answer & Solution
Correct Answer
(B) \(3 x^2+y^2-4 x+6 y+21=0\)
Step-by-step Solution
Detailed explanation
When the point (x, y) changes to (X, Y) on shifting the origin to (h, k) Then, \(\begin{aligned} & X=x+h \text { and } Y=y+k \\ \Rightarrow & X=x-1 \text { and } Y=y+1\end{aligned}\) So, the equation transform to,…
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