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

Find the equation of the tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` at the point `(x_(0),y_(0))`.

Text Solution

Verified by Experts

The correct Answer is:
`("XX"_(0))/(a^(2))-("YY"_(0))/(b^(2))`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 4 MARK QUESTIONS|57 Videos
  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos
  • APPLICATION OF DERIVATIVES

    CBSE COMPLEMENTARY MATERIAL|Exercise 6 MARK QUESTIONS|13 Videos
  • APPLICATIONS OF INTEGRALS

    CBSE COMPLEMENTARY MATERIAL|Exercise FOUR/SIX MARK QUESTIONS|26 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

find the equation of the tangent to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the point (x_(1),y_(1))

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) .

Show that the equation of the tangent to the hyperbola (x^(2))/(a^(2)) - (y^(2))/(b^(2)) = 1 " at " (x_(1), y_(1)) " is " ("xx"_(1))/(a^(2)) - (yy_(1))/(b^(2)) = 1

Find the equations to the common tangents to the two hyperbolas (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and (y^(2))/(a^(2))-(x^(2))/(b^(2))=1

Find the equation of the normal to the curve (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at (x_(0),y_(0))

Find the equation of the tangent at the point (x,y) of the curve : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

Find the equations to the common tangents to the two hyperbolas (x^(2))/(a^(2))-1 and (y^(2))/(a^(2))-(x^(2))/(b^(2))=1

The angle between the tangents to the curve (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 at the points (a,0) and (0,b) is

Find the equation of tangent to the conic x^(2)-y^(2)-8x+2y+11=0 at (2,1)

CBSE COMPLEMENTARY MATERIAL-APPLICATION OF DERIVATIVES-2 MARK QUESTIONS
  1. Find the coordinates of the point on the curve y^2=3-4x where tange...

    Text Solution

    |

  2. The sum of the two numbers is 8, what will be the minimum value of the...

    Text Solution

    |

  3. Find the maximum value of f(x)=2x^(3)-24x+107 in the internal [1,3]

    Text Solution

    |

  4. If the rate of change of area of a circle is equal to the rate of c...

    Text Solution

    |

  5. The sides of an equilateral triangle are increasing at the rate of ...

    Text Solution

    |

  6. If there is an error of a% in measuring the edge of a cube, then pe...

    Text Solution

    |

  7. If an error of k% is made in measuring the radius of a sphere, then...

    Text Solution

    |

  8. The point on the curve y^(2)=x where tangent makes 45^(@) angle with x...

    Text Solution

    |

  9. The slope of the tangent to the curves x=3t^2+1,y=t^2-1 at t=1 is

    Text Solution

    |

  10. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then ...

    Text Solution

    |

  11. Find the point on the curve y^2dot 8xdot for which the abscissa and or...

    Text Solution

    |

  12. Prove that the function f(x)=tanx-4x is strictly decreasing on (-pi//3...

    Text Solution

    |

  13. Find the point on the curve y=x^(2), where the slope of the tangent is...

    Text Solution

    |

  14. Use differentials to approximate the cube root of 66.

    Text Solution

    |

  15. Find the maimum and minimum values of the function f(x)= sin (sin x)

    Text Solution

    |

  16. Find the local maxima and minima of the function f(x)=2x^(3)-21x^(2)+3...

    Text Solution

    |

  17. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

    Text Solution

    |

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

    Text Solution

    |

  19. If the radius of a circle increases from 5 cm to 5.1 cm, find the incr...

    Text Solution

    |

  20. Find the equation of the normal to the curve y=2x^(3)+3 sin x" at "x=0...

    Text Solution

    |