Question:
The length of the axes of the conic
\[
9x^2 + 4y^2 - 6x + 4y + 1 = 0
\]
are
The length of the axes of the conic
\[
9x^2 + 4y^2 - 6x + 4y + 1 = 0
\]
are
Show Hint
When finding the axes lengths of a conic, complete the square on both the \( x \) and \( y \) terms to express the equation in standard form.
Updated On: Apr 1, 2025
- \( \frac{1}{2}, 9 \)
- 3, 2
- 1, \( \frac{3}{2} \)
- 3, 2
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The Correct Option is D
Solution and Explanation
To find the lengths of the axes of the conic, we rewrite the equation in standard form by completing the square.
After simplifying, we find the lengths of the axes to be 3 and 2.
After simplifying, we find the lengths of the axes to be 3 and 2.
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