Find the length of latus rectum of the equation x²/9 + ²/36 = 1 .
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98 0000 1351 {+2×3÷4 only points
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1
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The length of the latus rectum of an ellipse
a
2
x
2
+
b
2
y
2
=1 is
a
2b
2
The given equation of ellipse is 4x
2
+9y
2
=36
⇒
3
2
x
2
+
2
2
y
2
=1
Thus, the length of latus rectum will be
3
2(2)
2
=
3
8
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