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
Promotional Banner

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

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)=

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. Equation of normal drawn to the graph of the function defined as f(x) ...

    Text Solution

    |

  2. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

  3. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

  4. Prove that the length of segment of all tangents to curve x^(2/3)+y^(2...

    Text Solution

    |

  5. Tangents are drawn from the origin to the curve y = sin x. Prove that ...

    Text Solution

    |

  6. Q. Number of tangents drawn from the point (-1/2, 0) to the curve y=e^...

    Text Solution

    |

  7. "Let "f(x) ={ underset( x^(2) +8 " "." "x ge0)(-x^(2)" "." "x lt0)...

    Text Solution

    |

  8. Minunun distance between the curves f(x)=e^x and g(x)=ln x is

    Text Solution

    |

  9. The point(s) on the parabola y^2 = 4x which are closest to the circlex...

    Text Solution

    |

  10. If f(x)= a^({a^(|x|)sgn x }),g(x)=a^([a^(|x|)sgn x] for a gt 1, a!=1...

    Text Solution

    |

  11. If f:[1,10]->[1,10] is a non-decreasing function and g:[1,10]->[1,10] ...

    Text Solution

    |

  12. If f(x)=|ax-b|+c|x| is stricly increasing at atleast one point of non ...

    Text Solution

    |

  13. If g(x) is a curve which is obtained by the reflection of f(x) = (e^x...

    Text Solution

    |

  14. The set of values of p for which the points of extremum of the functio...

    Text Solution

    |

  15. The values of parameter a for which the point of minimum of the functi...

    Text Solution

    |

  16. Consider the following statements : S(1): The function y=(2x^(2)-1)...

    Text Solution

    |

  17. Q. Let f (x)=sin^3x+ lambdasin^2x where (pi)/2 ltxlt (pi)/2. The inte...

    Text Solution

    |

  18. "Let "f(x) ={underset(-2x + log(2) (b^(2)-2), x gt1)(x^(3) -x^(2) +10 ...

    Text Solution

    |

  19. Four points A, B, C, D lie in that order on the parabola y = ax^2 +bx+...

    Text Solution

    |

  20. The base of prism is equilateral triangle. The distance from the centr...

    Text Solution

    |