The radius of curvature of 9x^2 + 4y^2 = 36 at (2,0) is
Answers
Answered by
0
Answer:
answr
search
What would you like to ask?
MATHS
The radius of curvature of 9x
2
+4y
2
=36 is greatest at the point:
Share
Study later
ANSWER
9x
2
+4y
2
=36
4
x
2
+
9
y
2
=1 (dividing ley 36)
⇒
(2)
2
x
2
+
(3)
2
y
2
=1
Comparing with standard form of an ellipse:
a
2
(x−h)
2
+
b
2
(y−k)
2
=1
a=2,b=3,h=k=0
since, a<b⇒It is a vertical ellipse
vertex of an ellipse: (h,k+b) and (h,k−b)
=(0,3) and (0−3)
Ellipse cuts the X-axis at (−2,0) and (2,0)
centre : (0,0)
Radius of curvature greatest at (2,0). [∵it is a vertical ellipse]
solution
Step-by-step explanation:
Hope this is helpful...
If I m correct follow me and Mark me as brain list
Similar questions