Home
Class 11
MATHS
The points on the curve 2a^2y=-x^3-3ax^2...

The points on the curve `2a^2y=-x^3-3ax^2` at which the tangent is perpendicular to y-axis is

Text Solution

Verified by Experts

The correct Answer is:
(0,0),(-2a,-2a)
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

The points on the curve y=x^2+sqrt(1-x^2) at which the tangent is perpendicular to x-axis are

The point on the curve x^4-4x^3+4x^2+1 at which the tangent is parallel to x-axis is

The point on the curve x^2+y^2-2x-3=0 at which the tangent is parallel to x-axis is

The point on the curve y=x^2+5 , the tangent at which is perpendicular to the line x+2y=2 is

The equation of the tangent to the curve y=x^3+3x^2-5 and which is perpendicular to 2x-6y+1=0 is

Find the points on the curve at which the tangents to the curve. y=x^(2)+5 are perpendicular to x+2y=2

Find the equation of the tangent to the curve. y=x^(3)+3x^(2)-5 and which is perpendicular to 2x-6y+1=0

The point on the curve y=x^3+x-2 , the tangent at which is parallel to the line y=4x-1 is

The equation of the tangent to the curve x^2+2y=8 and which is perpendicular to x-2y+1=0 is

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Points at which the tangents to the hyperbola y=(x-1)/(x+1) are parlle...

    Text Solution

    |

  2. The point on the curve x^4-4x^3+4x^2+1 at which the tangent is paralle...

    Text Solution

    |

  3. The points on the curve 2a^2y=-x^3-3ax^2 at which the tangent is perpe...

    Text Solution

    |

  4. The points of contact of the tangents drawn from origin to the curve 3...

    Text Solution

    |

  5. Find the point of contact of the tangents drawn from origin to the cur...

    Text Solution

    |

  6. Tangent at any point of the curve ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1 ...

    Text Solution

    |

  7. Show that the part of the tangent to the curve xy=a^(2) included betwe...

    Text Solution

    |

  8. The area of the triangle formed by the tangent and the normal at the p...

    Text Solution

    |

  9. Show that the following curves cut orthogonally x^(2)+y^(2)=25,2x^(2...

    Text Solution

    |

  10. Show that the following curves cut orthogonally 4y^(2)-x^(2)=8, 2x^(...

    Text Solution

    |

  11. Find the angle between the curves y=2x,x^(3)+y^(3)=6xy

    Text Solution

    |

  12. Find the angle between the curves x^(2)+y^(2)=4,x^(2)=3y

    Text Solution

    |

  13. Find the angle between the curves y^(2)=8x,x^(2)=4y-12

    Text Solution

    |

  14. Find the length of the tangent, length of the normal, the subtangent, ...

    Text Solution

    |

  15. Find the length of the tangent, length of the normal, the subtangent, ...

    Text Solution

    |

  16. Show that in the curve y=a log(x^(2)-a^(2)) the sum the lengths of th...

    Text Solution

    |

  17. The curve y^2=(x+a)^3, the square of the subtangent is ..... Subnormal

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |