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At what points on the curve y=2/3(x^3) +...

At what points on the curve `y=2/3(x^3) + 1/2(x^2)`, tangents make equal angles with the co-ordinate axes ?

A

`(1/2,5/24)`and `(-1,-1/6)`

B

`(1/2,4/9)`and `(-1,0)`

C

`(1/3,1/7)`and `(-3,1/2)`

D

`(1/3,4/47)`and `(-1,-1/3)`

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The correct Answer is:
A
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