Home
Class 11
MATHS
Find the length of the tangent, length o...

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve
`x=a cos^(3),theta, y= a sin^(3) theta(a gt 0)`

Text Solution

Verified by Experts

The correct Answer is:
`a sin^(2) theta, a sin^(2), theta|tan thea|, a sin^(2)theta| cos theta|, a sin^(4) theta| sec theta|`
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 x=a cos^(3) theta , y= a sin^(3) theta then

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve y=((x+1)/(x))" at" (1,2)

The length of the subnormal of the curves x=acos^3theat,y=asin^3theta(agt0) is

The length of the normal to the curves x=acos^3theta,y=asin^3theta(agt0) is

The length of the subtangent of the curve x=acos^3theta,y=asin^3theta(agt0) is

Find the slope of the normal to the curve x = a cos^(3) theta, y = a sin^(3) theta at theta = pi//4 .

Find the slope of the normal to the curve x=a cos^(3) theta,y=a sin^(3) theta at theta=(pi)/(4) .

The length of the tangent of the curve x=acos^3theta,y=asin^3theta(a>0) is

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)

AAKASH SERIES-TANGENT AND NORMAL -ADVANCED SUBJECTIVE TYPE QUESTIONS
  1. Find the angle between the curves x^(2)+y^(2)=4,x^(2)=3y

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |