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

1)`(22)/(7)`

B

2)`(6)/(7)`

C

3)`(7)/(6)

D

4)`(-6)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • K-CET-MATHEMATICS-2015

    SUNSTAR PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|60 Videos
  • P.U .BOARD LATEST MODEL QUESTION PAPER - 2

    SUNSTAR PUBLICATION|Exercise PART-E|4 Videos

Similar Questions

Explore conceptually related problems

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

Find slope of tangent to the curve x^2 +y^2 = a^2/2

The slope of the tangent to the curve : x=a sin t, y = a(cos t+log "tan" (t)/(2)) at the point 't' is :

Find the slope of the tangent to curve y = x^(3) - x + 1 at the point whose x-coordinate is 2.

Find the slope of the tangent to curve y = x^(3) – x + 1 at the point whose x-coordinate is 2.

The equation of the normal at the point 't' to the curve x=at^(2), y=2at is :

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) .

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

Find the equation of tangent to the curve given by x=asin^3t,y=bcos^3t a point where t=pi/2

SUNSTAR PUBLICATION-K-CET-MATHEMATICS-2016-MULTIPLE CHOICE QUESTIONS
  1. The value of int(e^(6logx)-e^(5logx))/(e^(4logx)-e^(3logx))dx is equal...

    Text Solution

    |

  2. The differential coefficient of log(10)x with respect to log(x)10 is

    Text Solution

    |

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

    Text Solution

    |

  4. The real part of (1-costheta + I sin theta)^(-1) is

    Text Solution

    |

  5. int(0)^(pi//2)(sin^(1000)xdx)/(sin^(1000)x+cos^(1000)x) is equal to

    Text Solution

    |

  6. If 1+sin x+sin^(2)x+…………… upto oo=4+2sqrt(3),0ltxltpi and x!=(pi)/2, t...

    Text Solution

    |

  7. underset(xrarr0)lim(xe^(x)-sinx)/(x) is equal to

    Text Solution

    |

  8. If tan^(-1)(x^(2)+y^(2))=alpha then (dy)/(dx) is equal to

    Text Solution

    |

  9. The simplified form of i^(n)+i^(n+1)+i^(n+2)+i^(n+3) is

    Text Solution

    |

  10. The two curves x^(3)-3xy^(2)+2=0 and 3x^(2)y-y^(3)-2=0:

    Text Solution

    |

  11. The equation of the normal to the curve y(1+x^(2))=2-x where the tang...

    Text Solution

    |

  12. The maximum value of (1/x)^(x) is

    Text Solution

    |

  13. The solution for the differential equation (dy)/(y)+(dx)/(x)=0 is

    Text Solution

    |

  14. The order and degree of the differential equation [1 + ((dy)/(dx))^(2)...

    Text Solution

    |

  15. If veca and vec b are unit vectors, then what is the angle between vec...

    Text Solution

    |

  16. The sum of 1^(st) n terms of the series (1^(2))/(1) + (1^(2) + 2^(2...

    Text Solution

    |

  17. The 11^(th) term in the expansion of (x+(1)/(sqrt(x)))^(14) is

    Text Solution

    |

  18. Suppose veca + vecb + vecc = 0, |veca| = 3, |vecb| = 5, |vecc| = 7, th...

    Text Solution

    |

  19. If veca, vecb, vecc are three non-zero vector such that each one of th...

    Text Solution

    |

  20. If the straight lines 2x+3y-3=0 and x+ky+7=0 are perpendicular, then t...

    Text Solution

    |