Question

Choose the correct answer in the points on the curve \(9y^2 = x^3\), where the normal to the curve makes equal intercepts with the axes are

Answer 1

Step-by-step explanation:

REF. Image.

Solution -

9y

2

=x

3

y=

3

x

3/2

dx

dy

=

2

3

×

3

x

1/2

=

2

1

x

.

slope of Normal =

x

−2

=−1

x=4.

y=

9

64

=

3

8

point is (4, 8/3)