Home
Class 12
MATHS
The slope of the tangent to the curve xy...

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

A

`-1/t`

B

`1/t^2`

C

`1/t`

D

`1/t^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The slope of the tangent to the curve y=2sqrt2x

The slope of the tangent to the curve y=sqrt(4-x^2) at the point where the ordinate and the abscissa are equal is (a) -1 (b) 1 (c) 0 (d) none of these

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

Find the equation of a curve passing through the point (-2,3), given that the slope of the tangent to the curve at any point (x,y) is (2x)/(y^(2)) .

Find the slope of the tangent to the curve y = x^(3) –3x + 2 at the point whose x-coordinate is 3.

The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the curve passes through the point (1,2) then the area of the region bounded by the curve, the x-axis and the line x=1 is (A) 5/6 (B) 6/5 (C) 1/6 (D) 1

A curve passes through the point (3,-4) and the slope of the tangent to the curve at any point (x,y) is (-(x)/(y)) . Find the equation of the curve.

Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.

UNITED BOOK HOUSE-SET 14-EXERCISE
  1. The greatest integer fuction f(x) = [x] is

    Text Solution

    |

  2. The value of int e^(5logx)dx is

    Text Solution

    |

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

    Text Solution

    |

  4. hati + 2 hatj and -hati +mhatj are given as collinear vectors, then th...

    Text Solution

    |

  5. The line joining the points (1,1,2) and (3,-2,1)meets the plane 3x + 2...

    Text Solution

    |

  6. If the odds in favour of an event are 9:4, then its probability of occ...

    Text Solution

    |

  7. The S.D. of a binomial distribution with parameteres n and p is

    Text Solution

    |

  8. Let S = N xx Nand ast is a binary operation on S defined by (a,b)^**(c...

    Text Solution

    |

  9. Prove that, 2 sin^(-1)x = sin^(-1) (2x sqrt (1-x^2))

    Text Solution

    |

  10. prove without expanding, |[(a-b),1,a],[b-c,1,b],[c-a,1,c]|=|[a,1,b],[b...

    Text Solution

    |

  11. If two matrices A and B of orders 2 xxm and 3xxn respectively are conf...

    Text Solution

    |

  12. Evaluate:underset(xrarr0)lim log(1 + alphax)/(sin betax)

    Text Solution

    |

  13. If y = logxtanx, find (dy)/(dx).

    Text Solution

    |

  14. overset(pi//2)underset(-pi//2)int |sin x|dx =

    Text Solution

    |

  15. Form the diffential equation of family of parabolas having vertex at t...

    Text Solution

    |

  16. If f(x) = (x-1)e^x + 1, show that f(x) is positive for all positive va...

    Text Solution

    |

  17. Using direction ratios show that the points (2,6,3),(1,2,7) and (3,10,...

    Text Solution

    |

  18. Find the equation of the plane which passing through the point hati + ...

    Text Solution

    |

  19. For three mutually exclusive events X,Y and Z it is given that P(x) = ...

    Text Solution

    |

  20. A discrete random variable X has the following distribution: find a.

    Text Solution

    |