# 21) Find the equation of the normals to the curve which are parallel to the line

Equation of given curve is

Parellel to line  means slope of normal and line is equal
We know that, equation of line
y= mx + c
on comparing it with  our given equation. we get,

Slope of tangent =
We know that

Now, when x = 2,
and
When x = -2 ,
Hence, the coordinates are (2,18) and (-2,-6)
Now, the equation of at point (2,18) with slope

Similarly,  the equation of at point (-2,-6) with slope

Hence, the equation of the normals to the curve which are parallel
to the line

are x +14y - 254 = 0  and  x + 14y +86 = 0

## Related Chapters

### Preparation Products

##### Knockout NEET May 2021 (One Month)

An exhaustive E-learning program for the complete preparation of NEET..

₹ 14000/- ₹ 6999/-
##### Foundation 2021 Class 10th Maths

Master Maths with "Foundation course for class 10th" -AI Enabled Personalized Coaching -200+ Video lectures -Chapter-wise tests.

₹ 350/- ₹ 112/-
##### Knockout JEE Main April 2021 (One Month)

An exhaustive E-learning program for the complete preparation of JEE Main..

₹ 14000/- ₹ 6999/-
##### Knockout NEET May 2021

An exhaustive E-learning program for the complete preparation of NEET..

₹ 22999/- ₹ 14999/-