Question

The radius of curvature of 9x^2 + 4y^2 = 36 at (2,0) is

Answer 1

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MATHS

The radius of curvature of 9x

2

+4y

2

=36 is greatest at the point:

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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:

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