Home
Class 12
MATHS
Find the equation of tangent to the curv...

Find the equation of tangent to the curve given by `x = a sin^(3) t , y = b cos^(3)`t at a point where t = `(pi)/(2)` .

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.1|18 Videos

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the tangents and normal to the curve x= sin 3t, y= cos 2t " at " t=(pi)/(4)

Find the equations of the tangent to the given curves at the indicated points: x= cos t , y =sin t at t = (pi)/(4)

Find the equation of the tangent to the curve y=(x-7)/((x-2)(x-3)) at the point where it cuts the x-axis.

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

Find the equation of the tangent to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

Find the equation of the normal at the specified point to each of the following curves x= a sin ^(3)t, y= b cos ^(3)t at the point 't'.

Find the equation of tangent and normal to the curve x=(2a t^2)/((1+t^2)),y=(2a t^3)/((1+t^2)) at the point for which t=1/2dot

Find (d^2y)/(dx^2) when x= a sin^3t and y = a cos^3 t at t = pi/4

The slope of the tangent to the curve represented by x = t^(2) + 3t - 8 and y = 2t^(2) - 2t - 5 at the point A (2,-1) is (k)/(7) , find k .

The slope of the tangent to the curve x= t^(2)+3t-8,y=2t^(2)-2t-5 at the point (2,-1) is

NCERT BANGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Find the equation of tangent to the curve given by x = a sin^(3) t , y...

    Text Solution

    |

  2. Using differentials, find the approximate value of each of the followi...

    Text Solution

    |

  3. Show that the function given by f(x) =(logx)/(x) has maximum at x = e.

    Text Solution

    |

  4. The two equal sides of an isosceles triangle with fixed base b are dec...

    Text Solution

    |

  5. Find the equation of the normal to curve x^(2) = 4y which passes throu...

    Text Solution

    |

  6. Show that the normal at any point θ to the curve x = a costheta + a th...

    Text Solution

    |

  7. Find the intervals in which the function f given by f(x)=(4sinx-2x-xc...

    Text Solution

    |

  8. Find the intervals in which the function f given by f(x) =x^(3) +(1)/(...

    Text Solution

    |

  9. Find the maximum area of an isosceles triangle inscribed in the ellips...

    Text Solution

    |

  10. A tank with rectangular base and rectangular sides, open at the top is...

    Text Solution

    |

  11. The sum of the perimeter of a circle and square is k, where k is some ...

    Text Solution

    |

  12. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  13. A point on the hypotenuse of a triangle is at distance a and b from th...

    Text Solution

    |

  14. Find the points at which the function f given by f (x) = (x-2)^(4)(x+1...

    Text Solution

    |

  15. Find the absolute maximum and minimum values of the function f given b...

    Text Solution

    |

  16. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  17. Let f be a function defined on [a, b] such that f ′(x) gt 0, for all x...

    Text Solution

    |

  18. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  19. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  20. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

  21. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |