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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 __________
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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Regards,
Askiitians ExpertsSoumyajit Das IIT Kharagpur
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