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

`22/7`

B

`6/7`

C

`7/6`

D

`(-6)/7`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the tangent to the curve: x=at^2, y =2at. at t = 2

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 slope of the tangent to the curve: y=x^3 - 2x+8 at the point (1,7).

Find the slope of the nromal to the curve x = 1+ a sint, y =- b cos^2t at t= pi/2

The slope of the tangent to the curve y=3x^(2)+4x at the point with x-coordinates -2 is -8.

Write the equation of a tangent to the curve x=t, y=t^2 and z=t^3 at its point M(1, 1, 1): (t=1) .

Find the equation of the tangent at t = pi/4 to the curve: x = sin 3t, y = cos 2t.

Find the equation of tangent to the curve given by x = a sin^3 t, y = b cos^3 t at a point where t = pi/2 .

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

  2. A cylindrical tank of radius 10 m is being filled with wheat at the ra...

    Text Solution

    |

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

    Text Solution

    |

  4. The line y = mx +1, is a tangent to the curve y^2 = 4x if the value of...

    Text Solution

    |

  5. The normal at the point (1,1) on the curve 2y + x^2 = 3 is:

    Text Solution

    |

  6. The normal to the curve x^2 = 4y passing (1,2) is:

    Text Solution

    |

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

    Text Solution

    |

  8. The abscissa of the point on the curve 3y=6x-5x^3, the normal at which...

    Text Solution

    |

  9. The two curves x^3-3xy^2+2=0 and 3x^2y-y^3=2

    Text Solution

    |

  10. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  11. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  12. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

    Text Solution

    |

  13. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  14. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

    Text Solution

    |

  15. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  16. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  17. Find the slope of tangent to the curve y=2x^2-3 at x=1/4

    Text Solution

    |

  18. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

    Text Solution

    |

  19. The absolute maximum value of the function f(x) = x^2 - 3x on [0,2] is

    Text Solution

    |

  20. The slope of the tangent to the curve given by: x=1-costheta, y=theta-...

    Text Solution

    |