4 x² - 36 y² चे अवयव पर्यायांतून निवड.
Answers
Answer:
4 x² - 36 y²x² - y² = 36 -- hyperbola since x² and y² have coefficients with OPPOSITE SIGNS when on the same side of the equation. 3. 5x² + 9y² = 45 -- ellipse since x² and y² have different coefficients with THE SAME SIGN when on the same side of the equation. 4. x² + y² = 121 -- circle since x² and y² have the SAME COEFFICIENT, 1, when on the same side of the equation. 5. y = 17 ...
Step-by-step explanation:
Step-by-step explanation:
Given equation of ellipse is
36
x
2
+
16
y
2
=1
On comparing the given equation with
a
2
x
2
+
b
2
y
2
=1, we get
a=6,b=4
Since, a>b ,therefore the major axis is along the x-axis while the minor axis is along the y-axis.
Length of major axis =2a=12
Length of minor axis =2b=8
Eccentricity e=
1−
a
2
b
2
=
36
36−16
=
6
20
=
3
5
Coordinates of the foci are (2
5
,0) and (−2
5
,0)
The coordinates of the vertices are (6,0) and (−6,0)
Length of latus rectum =
a
2b
2
=
6
2×16
=
3
16
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