Question:medium
If the area of the circle $4x^2 + 4y^2 + 8x - 16y + \lambda = 0$ is $9\pi$ sq. units, then the value of $\lambda$ is:
If the area of the circle $4x^2 + 4y^2 + 8x - 16y + \lambda = 0$ is $9\pi$ sq. units, then the value of $\lambda$ is:
Show Hint
Always ensure the coefficients of $x^2$ and $y^2$ are 1 before identifying $g$, $f$, and $c$. Forgetting to divide by 4 in the first step is the most frequent cause of error in this problem type.
Updated On: May 2, 2026
- $4$
- $-4$
- $16$
- $-16$
- $-8$
Show Solution
The Correct Option is D
Solution and Explanation
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