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

Find the equation of the tangent to the curve `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` at the point `(sqrt(2)a, b)`.

Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 3 APPROXIMATE VALUES, DIFFERENTALS & ERRORS (SHORT ANSWER TYPE QUESTIONS - I )|14 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC - 5 MAXIMA AND MINIMA (SHORT ANSWER TYPE QUESTIONS - I )|1 Videos

  • APPLICATIONS OF DERIVATIVES

    OSWAAL PUBLICATION|Exercise TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS-I)|2 Videos

  • APPLICATION OF INTEGRALS

    OSWAAL PUBLICATION|Exercise Long Answer Type Questions - II|25 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    OSWAAL PUBLICATION|Exercise MVT AND ROLLE.S THEOREM ( SHORT ANSWER TYPE QUESTIONS-II)|5 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point (x^(0), y^(0)).

The equation of the tangent to the curve (x/a)^(n) + (y/b)^(n) = 2 at (a, b) is

Find the slope of the tangent to the curve y= x^(3)-x at x=2

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

Find the equations of the tangents to the circle x^(2) + y^(2)=16 drawn from the point (1,4).

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.

Area of a triangle formed by tangent and normal to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at P ((a)/(sqrt(2)),(b)/(sqrt(2))) with the X-axis is

Find the equation of tangent to the circle x^(2)+y^(2)-2ax=0 at the point [a(1+cosalpha),asinalpha]

The equation of the common tangent of the curves x^(2)+4y^(2)=8 and y^(2)=4x is :

OSWAAL PUBLICATION-APPLICATIONS OF DERIVATIVES-TOPIC -2 TANGENTS AND NORMALS (SHORT ANSWER TYPE QUESTIONS - II )
  1. Show that the curves x = y^2 and xy = k cut at right angles; if 8k^2 =...

    Text Solution

    |

  2. Find the condition for the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and...

    Text Solution

    |

  3. Find the equation of the tangent to the curve (x^(2))/(a^(2))-(y^(2))/...

    Text Solution

    |

  4. For the curve y=4x^3-2x^5,find all the points at which the tangent pa...

    Text Solution

    |

  5. The equation of normal to the curve x= a cos^(3) theta, y=a sin^(3) th...

    Text Solution

    |

  6. Find the equation of the normal at the point (a m^2,a m^3)for the curv...

    Text Solution

    |

  7. Show that the equation of tangent to the parabola y^(2) = 4ax " at " (...

    Text Solution

    |

  8. Find the point on the curve y=x^3-11 x+5 at which the equation of tang...

    Text Solution

    |

  9. Find the equations of the tangent and the normal to the curve y = x^(4...

    Text Solution

    |

  10. Find the equations of the tangent and the normal to the curve 4x...

    Text Solution

    |

  11. At what point will be tangents to the curve y=2x^3-15 x^2+36 x-21 by p...

    Text Solution

    |

  12. For the curve x =2 cos theta - cos 2 theta and y = 2 sin theta - s...

    Text Solution

    |

  13. Find the equation of the tangent to the curve y=(x^3-1)(x-2) at the po...

    Text Solution

    |

  14. Find the equations of the tangent and normal to the curve x = a sin 3t...

    Text Solution

    |

  15. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  16. Find the points on the curve y=x^3at which the slope of the tangent i...

    Text Solution

    |