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the oint on cyrve y= 6x - x^2 at which the tangent to curve is inclined at 45 degree to line y+x=0 is __________

the oint on cyrve y= 6x - x^2 at which the tangent to curve is inclined at 45 degree to line y+x=0 is __________ 

Grade:12

1 Answers

Askiitians Expert Soumyajit IIT-Kharagpur
28 Points
12 years ago

Dear Shefali Sharma,

Ans:- We know that the angle between 2 st line is given by            tanθ=(m1-m2)/(1+m1m2)

Here m1=-1 θ=45 degree and hence we get m2=0

Now from the curve we get the value of the first order derivative is=6-2x and for tangency it must be 0 from where we get, the point as (3,9)

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Askiitians Experts
Soumyajit Das IIT Kharagpur

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