The angle between the curves y= x and y= x 0

Options

1. A⁻¹( 2 )
2. B⁻¹(3 2 )
3. C⁻¹(2 2 )
4. D⁻¹(3 3 )

Correct answer

C. ⁻¹(2 2 )

Step-by-step solution

y= x and y= x intersects at x= 4 ( d y ~d x )_ for first curve at x= 4 = 4 = 1 2 ( d y ~d x )_ for second curve at x= 4 =- 4 =- 1 2 Required angle = = ⁻¹ 1 2 - (- 1 2 ) 1+ ( 1 2 ) (- 1 2 ) = ⁻¹ ( 2 1 2 )= ⁻¹(2 2 )

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