Q. 254.0( 2 Votes )

The point on the A.

B.

C.

D.

Answer :

Given curve 9y2 = x3 ….(1)


Differentiate w.r.t. x,




Equation of normal:



it makes equal intercepts with the axes


slope of the normal = ±1


x2 = ±6y


Squaring both the sides,


x4 = ± 36y2


From (1),


x= 0, 4


and


But the line making equal intercept cannot pass through origin.


So, the required points are

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