Home
Class 11
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^2`

B

`(-1)/t^2`

C

`1/t`

D

`(-1)/t`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • 3D-GEOMETRY

    PATHFINDER|Exercise QUESTION BANK|39 Videos
  • BINOMIAL THEOREM

    PATHFINDER|Exercise QUESTION BANK|225 Videos

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.

PATHFINDER-BASIC MATHEMATICS-QUESTION BANK
  1. The maximum value of (1/x)^x, xgt0 is

    Text Solution

    |

  2. If y=tan^-1((sqrt(1+x^2)-1)/x), then dy/dx at x = 0 is

    Text Solution

    |

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

    Text Solution

    |

  4. int dx/(x+sqrtx) is equal to

    Text Solution

    |

  5. The value of int-2^3sqrt(x^2-2x+1 dx is

    Text Solution

    |

  6. The solution of the differential equation ysqrt(1+x^2) dy+xsqrt(1+y^...

    Text Solution

    |

  7. The value of 'a' for which the function f(x)= sinx-cosx-ax+b decreases...

    Text Solution

    |

  8. If f(x)=abs(sinx)+abs(cosx),then int0^pi f(x) dx is equal to

    Text Solution

    |

  9. A particle moves along a straight line according to the law s=t^3/3 -3...

    Text Solution

    |

  10. number of solution of the integral part of {1+x}+2x=4[x+1]-6 is

    Text Solution

    |

  11. Solution set of x satisfying (x)^2=[x]^2+2x is where [x] and (x) are t...

    Text Solution

    |

  12. Number of solution of equation [x]^2=x+2{x} is/are , where [.] and {.}...

    Text Solution

    |

  13. Number of solution of equationabs(2x-1)=3[x]+2{x} is

    Text Solution

    |

  14. Number of solution of equation x^2-4x+[x]+3=0

    Text Solution

    |

  15. Number of solution of equation y=1/3[sinx+[sinx+[sinx]]] and [y+[y]]=2...

    Text Solution

    |

  16. The value of sum(r=1)^(2000) {{x+r}}/2000 is

    Text Solution

    |

  17. Solution set of x satisfying (x)^2+[x]^2gt25 is

    Text Solution

    |

  18. Solve [abs(x-1)]+[abs(7-x]=6 is

    Text Solution

    |

  19. Non-integral solutions to the equation [x][y]=x+y, lie on

    Text Solution

    |

  20. If x/((x-3)(x-2))=3/(x-3)+A/(x-2), then A=

    Text Solution

    |