Use Coupon: CART20 and get 20% off on all online Study Material

Total Price: R

There are no items in this cart.
Continue Shopping
Get instant 20% OFF on Online Material.
coupon code: MOB20 | View Course list

Get extra R 400 off


Find parameter p so that y = 3x is a tangent line to the curve
y = x 2 + p

6 years ago


Answers : (1)


Dear nitin,

  • The slope of the tangent is equal to 3. At the point of tangency y ' = 3.

    y ' = 2 x = 3

  • Solve the equation 2 x = 3 to find the x coordinate of the point of tangency.

    x = 3 / 2

  • The point of tangency is on the line y = 3 x, therefore the y coordinate of the point of tangency is equal to

    y = 3 (3/2) = 9 / 2

  • The point of tangency (3 / 2 , 9 / 2) is on the curve
    y = x 2 + p and is therefore used to find p as follows

    9 / 2 = (3 / 2) 2 + p

  • Solve the above for p to obtain

    p = 9 / 4

We are all IITians and here to help you in your IIT JEE preparation.

All the best.

 If you like this answer please approve it....

win exciting gifts by answering the questions on Discussion Forum


Sagar Singh

B.Tech IIT Delhi

6 years ago

Post Your Answer

Other Related Questions on Differential Calculus

Let f : [a, b] → R be continuous on [a, b] and differentiable on (a, b). Suppose that f(a) = a and f(b) = b. Show that there is c ∈ (a, b) such that f′(c) = 1. Further, show that there are...
BY LMVT(Lagrange mean value theorem) Apply theorem in at points (a,f(a)) & (b,f(b)) This prove the first part that there exist a point c between a & b such that SECOND PART now break the...
Aakash one year ago
My answer was exactly the same as of Akash. But you disapproved my answer.
Anoopam Mishra one year ago
This is not fair!!!!!
Anoopam Mishra one year ago
does limit of a function exist if its right hand limit exists but not left hand limit
Dear Student, for the limit of function to be exists, Both the Right hand and left hand limit should exists as well as they should be equal. Hence for the given case, limit will not exists....
Vijay Mukati 11 months ago
Dear Your Q. is not stiesfies the defnition of limit so that we can simply say that one sided limit exists only this can not imply the existence of the limit.
Kumar one month ago
tell me tricks in calculations??????????????????/////???????????/
if you may know the shortcuts then you may solve many problems in a fraction of please try to know the shortcuts.
N JYOTHEESWAR 9 months ago
hi chethan Have someone type in any number between 1 and 900 into the calculator without letting you know what it is. (Actually, this trick will work for numbers greater ...
manichandra 9 months ago
dear iitian.. there are many skills to calculate calculation....first we have to know the shortcuts then only you have able to the solve problems..............
mohan 9 months ago
The dir cosines of two lines are related by l+m+n=0 & a(l)2+b(m2+c(n)2=0 the lines
Represent one in the form of other two. Then make a quadratic and frame a relationship between the other two in order to get the answer
Sourabh Singh 6 months ago
Why Can’t the solution for the trignometric equation cosθ=0 be written as (2n-1)π/2 ?
It can be written like that also. you just have to keep in mind values of (2n-1)π/2 as you substitute n.
Harsh Patodia 8 months ago
Please. exp. how to add vectors?
For adding two vectors, the i-components of the two vectors are added. similary for j, k, etc.
Vijay Mukati one year ago
Vectors are physical quantities that consist of a magnitude as well as a direction (for example velocity, acceleration, and displacement), as opposed to scalars, which consist of magnitude...
srinivas one year ago
addition of vectors can be done by using triangle law, parallelogram law or polygon law. hence, refer to the study material on this site for the same. if you have any other doubt, kindly...
vindhya one year ago
View all Questions »

  • Complete JEE Main/Advanced Course and Test Series
  • OFFERED PRICE: R 15,000
  • View Details
Get extra R 3,750 off

Get extra R 400 off

More Questions On Differential Calculus

Ask Experts

Have any Question? Ask Experts

Post Question

Answer ‘n’ Earn
Attractive Gift
To Win!!!
Click Here for details