Home
Class 11
MATHS
The area of the triangle formed by the t...

The area of the triangle formed by the tangent and the normal at the points `(a,a)` on the curve `y^2=x^3/(2a-x)` and the line `x=2a` is

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

Find the length of the tangent, normal, subtangent and subnormal at the point (a,a) on the curve y^(2)=(x^(3))/(2a-x),(a gt 0)

The area of the triangle formed by the tangent drawn at the point (-12,5) on the circle x^(2)+y^(2)=169 with the coordinate axes is

Area of the triangle formed by the tangent, normal at (a, a) on y(2a-x)=x^2 and the x axis is

Show that the area of the triangle formed by the tangents from the point (4,3) to the circle x^(2)+y^(2)=9 and the line joining their points of contact is 192/25 sq. units.

Area of the triangle formed by the tangent, normal at (1, 1) on the curve sqrt(x)+sqrt(y)=2 and the x axis is

The area of the triangle formed with the coordinate axes and the tangent drawn at the point (-12,5) on the circle x^(2)+y^2=169 is

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Tangent at any point of the curve ((x)/(a))^(2//3)+((y)/(b))^(2//3)=1 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |