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

The line `y = m x + 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`

A

1

B

2

C

3

D

`(1)/(2).`

Text Solution

Verified by Experts

The correct Answer is:
a
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (B. Fill in the Blanks)|10 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise Objective Type Questions (C. True/False Questions)|5 Videos

  • APPLICATIONS OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE 1 (f) (Long Answer Type Questions (II))|33 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise CHAPTER TEST|12 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 (A) 1 (B) 2 (C) 3 (D) 1/2 .

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)

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

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

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

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)

If the line y=mx+1 is tangent to the parabola y^(2)=4x, then find the value of m .

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

If y = m x +5 is a tangent to the curve x ^(3) y ^(3) = ax ^(3) +by^(3)at P (1,2), then

If the line joining the points (0,3) and (5,-2) is a tangent to the curve y=(C)/(x+1), then the value of c is 1(b)-2(c)4(d) none of these

MODERN PUBLICATION-APPLICATIONS OF DERIVATIVES-Objective Type Questions (A. Multiple Choice Questions)
  1. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

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

    Text Solution

    |

  3. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

    Text Solution

    |

  4. The normal at the point (1,1) on the curve 2y+x^2=3is(A) x + y = 0 (B)...

    Text Solution

    |

  5. Find the equation of the normal to curve x^2=4ywhich passes through t...

    Text Solution

    |

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

    Text Solution

    |

  7. The point on the curve 3y = 6x-5x^3 the normal at Which passes throug...

    Text Solution

    |

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

    Text Solution

    |

  9. If the parametric of a curve given by x=e^(t)cos t, y=et sin t, then t...

    Text Solution

    |

  10. The equation to the normal to the curve y=sinx at (0,\ 0) is x=0 (b...

    Text Solution

    |

  11. Write the coordinates of the point on the curve y^2=x where the tan...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  15. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  16. The point on the curve y=2x^(2), where the slope of the tangent is 8, ...

    Text Solution

    |

  17. Find the equation of the normal to the curve y=2x^2+3sinxa tx=0.

    Text Solution

    |

  18. The rate of change of the area of a circle with respect to its radius ...

    Text Solution

    |

  19. Find the slope of the tangent to the curve y=x^3-3x+2 at the point wh...

    Text Solution

    |

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

    Text Solution

    |