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

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

A

`6/7`

B

`-6/7`

C

`22/7`

D

`7/6`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise CRITICAL THINKING|129 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

For the curve x=t^(2) +3t -8 ,y=2t^(2)-2t -5 at point (2,-1)

The slope of the tangent to the curve x=t^2+3t-8,\ \ y=2t^2-2t-5 at point (2,\ -1) is 22//7 (b) 6//7 (c) -6 (d) 7//6

Find the slope of the tangent to the curve x=t^2+3t-8 , y=2t^2-2t-5 at t=2 .

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

Equation of the tangent and normal to the curve x=t^(2)+3t-8, y=2t^(2) -2t-5 at the point t=2 it are respectvely

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

Slope of the tangent to the curve x=at^(2), y=2t at t=2 is ……………….. .

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. Find the slope of the normal to the curve y=x^2-1/(x^2) at (-1, 0)

    Text Solution

    |

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

    Text Solution

    |

  3. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

    Text Solution

    |

  4. If the slope of the tangent to the curve y=ax^3+bx+4 at (2,14) is 21, ...

    Text Solution

    |

  5. For the curve x = t^2 - 1, y = t^2 - t, the tangent line is perpendicu...

    Text Solution

    |

  6. If slope of tangent to curve y=x^3 at a point is equal to ordinate of ...

    Text Solution

    |

  7. Find the coordinates of the point on the curve y=x^2 – 3x + 2 where th...

    Text Solution

    |

  8. The point on the curve y=sqrt(x-1), where the tangent is perpendicular...

    Text Solution

    |

  9. If y=4x-5 is tangent top the curvey^2=px^3+q at (2,3) then

    Text Solution

    |

  10. If the line y=4x-5 touches to the curve y^2=ax^3+b at the point (2,3) ...

    Text Solution

    |

  11. IF the lines y=-4x+b are tangents to the curve y=1/x, then b=

    Text Solution

    |

  12. The point of the curve y^(2)=2(x-3) at which the normal is parallel to...

    Text Solution

    |

  13. The total number of points on the curve x^2-4y^2=1 at which the tangen...

    Text Solution

    |

  14. The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta...

    Text Solution

    |

  15. If x+y=k is normal to y^2=12 x , then k is 3 (b) 9 (c) -9 (d) -3

    Text Solution

    |

  16. If the line ax+by+c=0 is a tangent to the curve xy=4 then

    Text Solution

    |

  17. If the tangent to y^2=4ax at the point (at^2,2at), where |t|gt1 is a n...

    Text Solution

    |

  18. The points on the curve 9y^2=x^3, where the normal to the curve makes ...

    Text Solution

    |

  19. At what points on the curve y=2/3(x^3) + 1/2(x^2), tangents make equal...

    Text Solution

    |

  20. The equation of the normal to the parabola, x^(2)=8y " at " x=4 is

    Text Solution

    |