Home
Class 12
MATHS
The line y = x+1, is a tangent to the cu...

The line `y = x+1`, is a tangent to the curve `y^2 = 4x` at the point.

A

(1,2)

B

(2,1)

C

(1,-2)

D

(-1,2)

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

The line y = x + 2 , is a tangent to the curve y^2 = 4x at the point :

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

A straight line parallel to the line 2x-y+5 =0 is also a tangent to the curve y^2=4x+5 . Then the point of contact is

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

Find the slope of the tangent to the curve y =3x^2-4x at the point, whose x-co-ordinats is 2.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The interval in which y = x^2 e^-x is increasing is:

    Text Solution

    |

  2. The slope of the normal to the curve y = 2x^2+3 sinx at x=0 is:

    Text Solution

    |

  3. The line y = x+1, is a tangent to the curve y^2 = 4x at the point.

    Text Solution

    |

  4. If f(x) = 3x^2+15x+5, then the approximate value of f (3.02) is :

    Text Solution

    |

  5. The approximate change in the volume of a cube of side x metres caused...

    Text Solution

    |

  6. The point on the curve x^2 = 2y which is nearest to the point (0,5) is...

    Text Solution

    |

  7. For all real values of x, the minimum value of (1-x+x^2)/(1+x+x^2 is:

    Text Solution

    |

  8. The maximum value of [x(x-1)+1]^(1/3), 0lexle1 is:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |