Question:
If the axes are shifted to the point \( (1, 2) \) without solution, then the equation
\[
2x^2 + 2y^2 - 4x + 4y = 0
\]
becomes:
If the axes are shifted to the point \( (1, 2) \) without solution, then the equation
\[
2x^2 + 2y^2 - 4x + 4y = 0
\]
becomes:
Show Hint
Shifting the axes modifies the equation based on the new coordinate system.
Updated On: Jan 6, 2026
- \( 2x^2 + 3y^2 = 6 \)
- \( 2x^2 + y^2 = 6 \)
- \( x^2 + y^2 = 6 \)
- None of these
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The Correct Option is B
Solution and Explanation
Step 1: Understand the transformation.
Shifting the axes by the point \( (1, 2) \) involves applying the transformation to the equation, resulting in the modified equation \( 2x^2 + y^2 = 6 \).
Step 2: Conclusion.
Thus, the new equation becomes \( 2x^2 + y^2 = 6 \).
Final Answer: \[ \boxed{2x^2 + y^2 = 6} \]
Shifting the axes by the point \( (1, 2) \) involves applying the transformation to the equation, resulting in the modified equation \( 2x^2 + y^2 = 6 \).
Step 2: Conclusion.
Thus, the new equation becomes \( 2x^2 + y^2 = 6 \).
Final Answer: \[ \boxed{2x^2 + y^2 = 6} \]
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