Tangents & Normals| Ch 05 | Application Of Differentiation 03 Notes ; Polytechnic.
Adarsh Academy S - YouTube ( Subscribe )
Tangents & Normals| Ch 05 | Application Of Differentiation 03 Notes ; Polytechnic
Hey Everyone, How are you ... Today I will show you How To Find Out Equation Of Tangent & Equation Of Normals| chapter 05 | Application Of Differentiation , Which Is Module 02 Of Applied mathematics 02 .
- Lecture 04 ( Topics ) :
1 ) Tangents & Normals - Basic Concept .
2 ) Some Important Questions .
3 ) Lecture Related Questions.
1 ) Equation Of Tangent - Basic Concept .
- Equation Of Curve ( y ) = F (x )
- Tangent passing through point A ( X' , y' )
Then,
Equation Of Tangent
( y - y' ) = m' ( x - x' )
Where, m = F'( x ) | (x' , y' )
* Equation Of Normal ;
- Slope Of Normal ( m2 )
m1 × m2 = -1
m2 = - 1 / F'( x ) | ( x' ,y )
Equation Of Normal :
( Y - y' ) = m2 ( X- X' )
2 ) Some Important Questions
Question 01 )
Find The Slope Of Tangent to the curve x³ = ay² at the point ( a , a ).
Solution : View On This Page
Question 02 )
Write the slope Of Normal to the curve x = at² ; y = 2at at t = 1
Solution : View On This Page
Question 03 )
Find the equation Of Tangent & Normal to the curve y( x - 2 ) ( x - 3 ) - x +7 = 0 at the point , where it cuts x axis
Solution : View On This Page
Question 04 )
Find the point On the curve y = x² - 2x +3 , Where the Tangent is parallel to x - axis.
Solution : View On This Page
Question 05 )
If the Tangent to the curve, y = x³ +ax + b at (1, -6 ) parallel to the line x - y +5 = 0, Find A & b.
Solution : View On This Page
Question 06 )
Show that x/a + y / b = 1 , Touches the curve y = be^-x/a at the point where it crosses y axis .
Solution : View On This Page
Question 07 )
Prove That All the normals to the curve x = a Cost + at Don't ; y = a Sin t - at cost are at a distance 'a' from the origin.
Solution : View On This Page
Comments
Post a Comment