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

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

  • DETERMINANTS

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|51 Videos
  • FUNCTION

    MAHAVEER PUBLICATION|Exercise QUESTION BANK|115 Videos

Similar Questions

Explore conceptually related problems

The line y=x+1 is 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) 1(B)2(C)3(D)(1)/(2)

Line x+y=2 is tangent to the curve x^(2)=3-2y at the point

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is (A) 1 (B) 2 (C) 3 (D) 1/2 .

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

The slope of the tangent to the curve y=x^(2) -x at the point where the line y = 2 cuts the curve in the first quadrant, is

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

Find the area bounded by the tangent to the curve 4y=x^(2) at the point (2,1) and the lines whose equation are x=2y and x=3y-3

IF the lines y=-4x+b are tangents to the curve y=1/x , then b=

MAHAVEER PUBLICATION-DIFFERENTIATION OR DERIVATIVE OF A FUNCTION-QUESTION BANK
  1. Given, f(x)=x^3-5x+2. Then f'(2) equals

    Text Solution

    |

  2. d/dx(sinx^2)=?

    Text Solution

    |

  3. Differentiate ax^2+b

    Text Solution

    |

  4. d/dx[(x+1)^3/x]=?

    Text Solution

    |

  5. The derivative of y=|x-2| at x=2 is

    Text Solution

    |

  6. Given the polar equation r=1. find dy/dx.

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  9. The slope of the tangent line to the curve y=x^3-2x+1 at x=1 is

    Text Solution

    |

  10. Find the slope of the line whose parametric equations are x=4t+6 and y...

    Text Solution

    |

  11. The slope of the tangent line to the curve x+y=xy at the point (2,2) i...

    Text Solution

    |

  12. Find the coordinates of the vertex of the parabola y=x^2-4x+1 by makin...

    Text Solution

    |

  13. Find the point in the parabola y^2=4x at which the rate of change of t...

    Text Solution

    |

  14. Find the eqaution of the normal to x^2+y^2=5 at the point (2,1)

    Text Solution

    |

  15. Find the point on the curve y=3x^2-4x+5 where the tangent line is para...

    Text Solution

    |

  16. The edge of the cube is increasing at a rate of 2cm//hr.How fast is th...

    Text Solution

    |

  17. Suppose y'+y=0. Which of the following is a possibility for y=f(x)

    Text Solution

    |

  18. Suppose f is a function such that f'(x)=4x^3 and f''(x)=12 x^2. Which ...

    Text Solution

    |

  19. In the curve y = 2+12x-x^3, find the critical points.

    Text Solution

    |

  20. What is the acute angle between the curves xy=2 and y^2=4x at their po...

    Text Solution

    |