FunctionHard

Question

Let g(x) be a function defined on [-1,1] If the area of the equilateral triangle with two of its vertices at (0, 0) and [x, g(x)] is , then the function g(x) is

Options

A.g(x) =
B.g(x)
C.g(x)
D.g(x)

Solution

          
Since, area of equilateral triangle = (BC)2
⇒       .[x2 + g2(x)]
⇒       g2(x) = 1 - x2
⇒       g(x)
or      
Hence, (b) and (c) are the correct options.

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