Home
Class 12
MATHS
The slope of the tangent to the rectangu...

The slope of the tangent to the rectangular hyperbola `xy=c^(2)` at the point `(ct,(c)/(t))` is -

A

`-(1)/(t)`

B

`-(1)/(t^(2))`

C

`(1)/(t)`

D

`(1)/(t^(2))`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise VERY SHORT ANSWER TYPE QUESTIONS|35 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise SHORT ANSWER TYPE QUESTIONS|42 Videos

  • TANGENT AND NORMAL

    CHHAYA PUBLICATION|Exercise ASSERTION-REASON TYPE|2 Videos

  • STRAIGHT LINE IN THREE DIMENSINAL SPACE

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination|19 Videos

  • TRANSFORMATIONS OF SUMS AND PRODUCTS

    CHHAYA PUBLICATION|Exercise Comprehension Type|6 Videos

Similar Questions

Explore conceptually related problems

The slop of the normal to the reactangular hyperbola xy=c^(2) point ( x_(1),y_(1)) is -

The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2)/(t)) is -

The slope to the tangent to the parabola 3y^(2)=8x at the point ((2)/(3)t^(2),(4)/(3)t) "is" (-2) , find the equation of the tangent.

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

The slope of the tangent to the curve xy= c^2 at (ct,c/t) is

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

The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 at the point ( x_(1),y_(1)) is-

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

The slope of tangent to the ellipse x^(2)+4y^(2)=4 at the point (2 cos theta, sin theta) "is" sqrt(2) , find the equation of the tangent.

Find the coordinates of the foci of the rectangular hyperbola x^(2)-y^(2) = 9

CHHAYA PUBLICATION-TANGENT AND NORMAL -MULTIPLE CHOICE TYPE QUESTIONS
  1. If m is the slop of the normal to the continous curve y=f(x) at the p...

    Text Solution

    |

  2. If the tangent to the contentious curve y=f(x) "at" p(a,b) is paralle...

    Text Solution

    |

  3. If the tangent t the curv y=f(x )"at" P(x(1),y(1)) is paralle to the y...

    Text Solution

    |

  4. If the slopes of the tangents and normal to the curve y=f(x) at the po...

    Text Solution

    |

  5. The eqaution of the normal to the continuous curve y=f(x) at the point...

    Text Solution

    |

  6. If the noraml to the continous curve y=f(x)"at" P(x(1),y(1)) makes ang...

    Text Solution

    |

  7. The slope of the normal to the parabola x^(2)= 4ay at (2at, at^(2...

    Text Solution

    |

  8. The slope of the normal to the rectangular hyperbola xy=4 "at" (2t, (2...

    Text Solution

    |

  9. The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2...

    Text Solution

    |

  10. The slope of the normal to the cirlce x^(2)+y^(2)=a^(2) at the point (...

    Text Solution

    |

  11. The slope of the tangent to the rectangular hyperbola xy=c^(2) at the ...

    Text Solution

    |

  12. The slope of the normal to the circle x^(2)+y^(2)=a^(2) at the point (...

    Text Solution

    |

  13. The slop of the tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))...

    Text Solution

    |

  14. The slop of the normal to the reactangular hyperbola xy=c^(2) point (...

    Text Solution

    |

  15. The slope of the tangent to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(...

    Text Solution

    |

  16. The slop of the normal to the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |