HSC Science (Computer Science) 12th Board ExamMaharashtra State Board
Account
It's free!

User


Login
Create free account


      Forgot password?
Share
Notifications

View all notifications
Books Shortlist
Your shortlist is empty

Solution - Find the co-ordinates of the points on the curve y=x-(4/x) where the tangents are parallel to the line y=2x - HSC Science (Computer Science) 12th Board Exam - Mathematics and Statistics

Question

Find the co-ordinates of the points on the curve y=x-(4/x) where the tangents are parallel to the line y=2x

Solution

`y=x-4/x ... (1)`

Differentiat ing w.r.t. x,

`dy/dx=1+4/x^2`

`|dy/dx|_(x_1,y_1) =1+4/x_1^2=m`

Slope of the tangent , `m=1+4/x_1^2`

Also Slope of the line y= 2x, m1=2

m is parallel to m1

`1+4/x_1^2=2`

`4/x_1^2=1`

`x_1^2=4`

`therefore x_1=2, x_2=-2 `

using eq (1)

`y_1=2-(4/2) = 0`

`y_2= -2-(4/-2)=0`

Co ordinates of the point of contact are (2,0) and (-2,0).

Is there an error in this question or solution?

APPEARS IN

 2014-2015 (March) (with solutions)
Question 5.2.1 | 4 marks
Solution for question: Find the co-ordinates of the points on the curve y=x-(4/x) where the tangents are parallel to the line y=2x concept: null - Tangents from a Point Outside Conics. For the courses HSC Science (Computer Science), HSC Science (General) , HSC Arts, HSC Science (Electronics)
S