Question:
The length of the latus rectum of $x^2 = -9y$ is equal to:
The length of the latus rectum of $x^2 = -9y$ is equal to:
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Always take absolute value for length.
Updated On: Apr 30, 2026
- \(9 \text{ units} \)
- \(\frac{3}{2} \text{ units} \)
- \(4 \text{ units} \)
- \(3 \text{ units} \)
- \(\frac{9}{4} \text{ units} \)
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The Correct Option is A
Solution and Explanation
Concept:
Standard form:
\[
x^2 = 4ay
\]
Length of latus rectum:
\[
= |4a|
\]
Step 1: Compare equations.
\[ x^2 = -9y \Rightarrow 4a = -9 \]
Step 2: Find length.
\[ \text{Length} = |4a| = 9 \]
Step 1: Compare equations.
\[ x^2 = -9y \Rightarrow 4a = -9 \]
Step 2: Find length.
\[ \text{Length} = |4a| = 9 \]
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