# If line x+y=a and x-y=b touch the curve $y=x^2-3x+2$ at the pts where the curve intersects the x-axis then a/b=? Option: 1 $\frac12$ Option: 2 $\frac32$ Option: 3 $2$ Option: 4 None of the above

Given equation of the Curve $y=x^2-3x+2$

The curve intersects at X-axis (1,0) and (2,0)

Now the curve x + y = a and x - y = b touch the curve  $y=x^2-3x+2$

at (1,0) and (2,0)

a = 1 and y = 2

a/b = 1/2

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