A new township is to be constructed alon...

A new township is to be constructed along the curve `y=x^3-11x+5`. Two attraction i.e., Amusement park and shopping mall is to be made on the this curve. At a point on the curve amusement park is to be constructed and on another point shopping mall is to be constructed at which tangent has the equation y=x-11.

Find the slope of the normal to the curve along which amusement park is to be constructed ?

A

`1/8`

B

8

C

`-8`

D

`(-1)/8`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

Find the point on the curve y=x^3-11 x+5 at which the tangent has the equation y=x-11

Find the slopes of the tangent and the normal to the curve x y=6 at (1,\ 6)

Find the slopes of the tangent and the normal to the curve y=sqrt(x) at x=9

Find the point on the curve y=x^(3)-11x+5 at which the tangent is y=x-11

Point at which the tangent to the curve y=3x-2x^(2) has slope m=-1 is

Find the equations of the tangent and the normal to the curve y^2=4a x at (x_1,\ y_1) at indicated points.

Find the point on the curve y=x^(3)-11x+5 at which the equation of tangent is y=x-11

Find the equation of the tangent and the normal to the curve y = x^(2) + 4x + 1 at the point where x = 3

Find the equations of the tangent and the normal to the curve y=x^2+4x+1 at x=3 at the indicated points