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On Sunday evening. Riya went to a nearby...

On Sunday evening. Riya went to a nearby fair, which was set up every weekend. While leaving, she opened Google maps to check the exact location of a newly opened South Indian Restaurant.
After checking the location of the restaurant, she checked the path traced by her in the fair. The path was a curve which can be represented as y=`x^(3).`
The points on the given curve at which the slope of the tangent is equal to y-coordinate of the point, are:

A

`(0,0),(2,8)`

B

`(2,8),(3,27)`

C

`(0,0),(3,27)`

D

`(8,2),(27,3)`

Text Solution

Verified by Experts

The correct Answer is:
C
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