Home
Class 12
MATHS
Equation of normal drawn to the graph of...

Equation of normal drawn to the graph of the function defined as f(x) = `(sinx^2)/x` , x is not equal to 0 and f(0) = 0 at the origin

A

`x + y =0`

B

`x-y=0`

C

`y=0`

D

`x=0`

Text Solution

Verified by Experts

The correct Answer is:
A
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part II|21 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise-2 Part III|23 Videos

  • APPLICATION OF DERIVATIVES

    RESONANCE|Exercise Exersise 1 Part III : Match the Column|4 Videos

  • COMBINATORICS

    RESONANCE|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|8 Videos

Similar Questions

Explore conceptually related problems

Equation of normal drawn to the graph of the function defined as f(x)=(sin x^(2))/(x),x is not equal to 0 and f(0)=0 at the origin

Sketch the graph of the function f given by f(x)={(x)/(|x|),x!=0 and 0,x=0

Knowledge Check

  • The function f defined as - f(x) = (sin x^(2))//x for x ne 0 and f(0) = 0 is:

    A
    continuous, and derivable at x = 0
    B
    neither continuous nor derivable at x = 0
    C
    continuous but not derivable at x =.0
    D
    none of these

  • The function f defined as f(x) = (sin x^(2))//x for x ne 0 and f(0)=0 is:

    A
    continuous and derivable at x = 0,
    B
    neither continuous nor derivable at x = 0,
    C
    continuous but not derivable at x = 0
    D
    none of these.

  • Let a function f be defined by f(x)= "x-|x|"/x for x ne 0 and f(0)=2. Then f is

    A
    continuous nowhere
    B
    continuous everywhere
    C
    continuous for all x except x =1
    D
    continuous for all x except x=0

    • Similar Questions

    Explore conceptually related problems

    Discuss the continuity of the function defined by f(x)={x+2, if x 0

    The function f defined by f(x)={{:(,(sinx^(2))/(x),x ne 0),(,0,x=0):} is

    If the function f(x) defined as f(x)=-(x^(2))/(x),x 0 is continuous but not differentiable at x=0 then find range of n^(2)

    If the function f(x) = (x(e^(sinx) -1))/( 1 - cos x ) is continuous at x =0 then f(0)=

    If the function f(x)= (x (e^(sinx)-1))/(1-cos x) is continuous at x = 0, then f (0) =

    Home
    Profile