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Question

Answer

(a)

y = a/(x²+b)

1/y = x²/a + b/a

1/a is the slope of the curve = (3-2)/(4-1)=1/3

a = 3

At point A(1,2)

2=1/3 + b/3

b = 5

y = 3/(x²+5)

Note: at point A , 1/y =2 and x²=1

(b) 2x²y = 1

y = 1/(2x²)

1/(2x²) = 3/(x²+5)

6x² = x² + 5

x² = 1

y = 1/2

 

 

 

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