If y=2x^(n+1)+3xn ,then x^2d^2y/dx^2 is...

If y=2x^(n+1)+3xn ,then x^2d^2y/dx^2 is

A

6n(n+1)y

B

x(dy/dx)+y

C

n(n+1)y

D

y

Verified by Experts

The correct Answer is:

B, C

Since, area of equilateral triangle `=(sqrt(3))/(4)(BC)^(2)`
`rArr (sqrt(3))/(4)=(sqrt(3))/(4)*[x^(2)+g^(2)(x)] rArr g^(2)(x)=1-x^(2)`

`rArr g(x)=sqrt(1-x^(2)) or -sqrt(1-x^(2))`
Hence, (b) and (c ) are correct options.

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