Home
Class 11
MATHS
If the sum of the squares of the interce...

If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve `x^(1//3)+y^(1//3)=a^(1//3)(a gt 0) at ((a)/(8),(a)/(8))` is 2 find the value of a.

Text Solution

Verified by Experts

The correct Answer is:
a=4
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.3 (SHORT ANSWER & LONG ANSWER QUESTIONS)|8 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 Videos

Similar Questions

Explore conceptually related problems

If the sum of the squares of the intercepts on the axes cut off by the tangent to the curve x^(1//3)+y^(1//3)=a^(1//3) "with" (a>0) at (a//8,a//8) is 2, then a has the value

The sum of the squares o the intercepts on the coordinates axes of any tangent to x^(2//3)+y^(2//3)=a^(2//3) is

Find the sum of the squares of the intercepts of the line 4x-3y=12 on the axes of co-ordinate.

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

The equation of the tangent to the curve 6y=7-x^3 at (1,1) is

Find the sum of the square of the intercepts of the line 4x - 3y = 12 on the axes of co-ordinates.

Find the equation of the tangent and normal to the curve y = x^(3) at (1,1)

Find the equations of the tangent and normal to the curve x^(2/3)+y^((2)/(3))=2 at (1,1).

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

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

    Text Solution

    |

  2. The length of the tangent to the curve x=a(cost+logtant/2),y=asint at ...

    Text Solution

    |

  3. The subtangent at any point of the curve x^my^n=a^(m+n) varies as its

    Text Solution

    |

  4. If the normal to the curve y=f(x) at (1, 2) make an angle (3pi)/(4) wi...

    Text Solution

    |

  5. If the line x + y = k is a normal to the curve y2 = 12x, find the valu...

    Text Solution

    |

  6. If the line ax + by + c = 0 is a normal to the curve xy = K^(2) then s...

    Text Solution

    |

  7. Show that the points of contact of the tangents drawn from the origin ...

    Text Solution

    |

  8. The tangent at any point f the curve x=at^3,y=at^4 divides the absciss...

    Text Solution

    |

  9. The normal at a point on the curvey^(2)=4ax is lx+my=1. Show that al^(...

    Text Solution

    |

  10. If the slop of the tangent to the curve e^(y)=1x^(2) at any point is m...

    Text Solution

    |

  11. If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercep...

    Text Solution

    |

  12. If the sum of the squares of the intercepts on the axes cut off by the...

    Text Solution

    |

  13. Find the equation of the normal to the curve y=(1+x)^(y)+sin^(-1)(sin...

    Text Solution

    |

  14. Let P be the point (other than the origin) of intersection of the curv...

    Text Solution

    |

  15. Find the angle of intersection of the curves y=[sinx|+|cosx|] and x^(2...

    Text Solution

    |

  16. If the tangent at (x(0),y(0)) to the curve x^(3)+y^(3)=a^(3) meet the ...

    Text Solution

    |

  17. Find the point on the curve 3x^(2)-4y^(2)=72 which is nearest to the l...

    Text Solution

    |

  18. Show that curves x^(2//3)+y^(2//3)=e^(2//3) and (x^(2))/(a^(2))+(y^(2)...

    Text Solution

    |

  19. Find the slope of straight line which is both tangent and normal to th...

    Text Solution

    |

  20. If the graphs of y = lnx and y=ax intersect at exactly two points show...

    Text Solution

    |