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

The line y = x + 1 is a tangent to the curve `y^(2)` = 4x at the poin

A

(1, 2)

B

(2, 1)

C

(1, – 2)

D

(– 1, 2)

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.4|23 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.5|48 Videos
  • APPLICATION OF DERIVATIVES

    NCERT TAMIL|Exercise EXERCISE 6.2|23 Videos
  • APPLICATION OF INTEGRALS

    NCERT TAMIL|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

The line y = mx + 1 is a tangent to the parabola y^(2) = 4x if m = _____

The line 4x+2y = c is a tangent to the parabola y^(2) = 16x then c 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 equations of tangent and normal to the curve y^(2)-4x-2y+5=0 at the point where it cuts the x-axis.

The line 2x-y+1=0 is tangent to the circle at the point (2, 5) and the center of the circle lies on x-2y=4. The radius of the circle is

For what value of x the tangent to the curve y = 3x^(2) + 4x +1 is parallel to the line y + 2x -3 = 0

The point of intersection of the curves y^(2) = 4x and the line y = x is

The equation of the tangent to the curve y=x^(2)-4x+2 at (4, 2) is

The slope of the tangent to the curve y = 3x^(2) + 4 cos x " at " x = 0 is

NCERT TAMIL-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the equations of all lines having slope 0 which are tangent to th...

    Text Solution

    |

  2. Find points on the curve (x^(2))/(9) +(y^(2))/(16) =1 at which the tan...

    Text Solution

    |

  3. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  4. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  5. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  6. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  7. Find the equations of the tangent to the given curves at the indicated...

    Text Solution

    |

  8. Find the equation of the tangent line to the curve y = x^(2) – 2x +7 w...

    Text Solution

    |

  9. Show that the tangents to the curve y = 7x^(3) + 11 at the points wher...

    Text Solution

    |

  10. Find the points on the curve y = x 3 at which the slope of the tangent...

    Text Solution

    |

  11. For the curve y = 4x^(3) – 2x^(5) , find all the points at which the t...

    Text Solution

    |

  12. Find the points on the curve x^(2) + y^(2) – 2x – 3 = 0 at which the t...

    Text Solution

    |

  13. Find the equation of the normal at the point (am^(2) ,am^(3) ) for the...

    Text Solution

    |

  14. Find the equation of the normals to the curve y = x^(3) + 2x + 6 which...

    Text Solution

    |

  15. Find the equations of the tangent and normal to the parabola y^(2) = 4...

    Text Solution

    |

  16. Prove that the curves x = y^(2) and xy = k cut at right angles* if 8k^...

    Text Solution

    |

  17. Find the equations of the tangent and normal to the hyperbola (x^(2))/...

    Text Solution

    |

  18. Find the equation of the tangent to the curve y= sqrt(3x-2) which is p...

    Text Solution

    |

  19. The slope of the normal to the curve y = 2x^(2) + 3 sin x at x = 0 is

    Text Solution

    |

  20. The line y = x + 1 is a tangent to the curve y^(2) = 4x at the poin

    Text Solution

    |