Home
Class 12
MATHS
Prove that the length of segment of all ...

Prove that the length of segment of all tangents to curve `x^(2/3)+y^(2/3)=a^(2/3)` intercepted betweern coordina axes Is same

A

`2|a|`

B

`|a|`

C

`(|a|)/(2)`

D

`(3|a|)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
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

The portion of the tangent of the curve x^(2/3)+y^(2/3)=a^(2/3) ,which is intercepted between the axes is (a>0)

The segment of the tangent to the curve x^(2/3)+y^(2/3)=16 ,contained between x and y axes, has length equal to

Show that the length of the portion of the tangent to the curve x^((2)/(3))+y^((2)/(3))=4 at any point on it,intercepted between the coordinate axes is constant.

The length of the tangent of the curve y=x^(3)+2 at (1 3) is

The number of tangents to the curve x^(2//3)+y^(2//3)=a^(2//3) which are equally inclined to the axes is

If 4x-y=5 is tangent to curve ax^(3)=y^(2)+b at (2,3) ,then:

The length of the tangent of the curve y=x^(2)+2 at (1, 3) is

Show that the segment of the tangent to the hyperbola y = frac{a^2}{x} intercepted between the axes of the coordinates is bisected at the point of contact

RESONANCE-APPLICATION OF DERIVATIVES-Exersise-2 Part I
  1. Show that the line d/a+y/b=1 touches the curve y=b e^(-x/a) at the poi...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. The maximum area of the rectangle whose sides pass through the vertice...

    Text Solution

    |