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 point

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 BANGLISH|Exercise EXERCISE 6.4|23 Videos

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF DERIVATIVES

    NCERT BANGLISH|Exercise EXERCISE 6.2|23 Videos

  • APPLICATION OF INTEGRALS

    NCERT BANGLISH|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

If the line y=2x+k is a tangent to the curve x^(2)=4y , then the value of k is -

If the line x+y =1 is a tangent to the parabola y^(2)-y +x=0 , then the point of contact is-

The equation of the tangent to the curve y^(2)=ax^(3)+b at the point (2,3) on it is y=4x-5 , find a and b.

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

If the straight line joining the point (0, 3) and (5, -2) is a tangent to the curve y(x+1)=c , then the value of c will be-

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

The equation of the tangent to the curve y= be^(-(x)/(a)) at the point where it crosses the y-axis is-

The straight line 3x-4y +7 = 0 is a tangent to the circle x^(2) + y^(2) + 4x + 2y + 4 = 0 at P, find the equation of its normal at the same point.

find the equation of the tangent to the curve y=-5x^2+6x+7 at the point (1//2, 35//4)

NCERT BANGLISH-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 tange...

    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 point

    Text Solution

    |