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given g(x)=x+2/x-1 and the line 3x+y-10=0 then the line is a) tangent tog(x) b) normal to g(x) c0 chord of g(x) d) none of the above solve it briefly plsease because it is a 5 marks question in our school and we need it urgently

given g(x)=x+2/x-1 and the line 3x+y-10=0 then the line is


a) tangent tog(x)


b) normal to g(x)


c0 chord of g(x)


d) none of the above


solve it briefly plsease because it is a 5 marks question in our school and we need it urgently

Grade:12

1 Answers

Mayank Kumar Jha
19 Points
10 years ago

 ye tangent to the curve kisi point par nahin ho sakta as the slope of any tangent to g(x) is 1/(x-1)^2 which is always positive wheras the slope of the line is negative wheras ye normal to g(x) bhi nahin ho sakta as x= 3^1/2+1 does not satis; and also it meets the curve at only one point x=2; hence its neither a chord nor a tangent nor a normal.... hence most suitable answer is d.

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