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

  • APPLICATION OF DERIVATIVES

    NCERT GUJARATI|Exercise EXERCISE 6.5|48 Videos

  • APPLICATION OF INTEGRALS

    NCERT GUJARATI|Exercise Miscellaneous Exercise|19 Videos

Similar Questions

Explore conceptually related problems

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

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

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

Line y = mx + 3 is tangent to parabola 3y^(2) = 2x then m = ……..

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

If y = mx - 1 is tangent to the hyberbola (x^(2))/(16) - (y^(2))/(9) = 1 then value of m = ……..

If the line lx + my = 1 is a tangent to the circle x^(2) + y^(2) = a^(2) , then the point (l,m) lies on a circle.

Find the point at which the tangent to the curve y=sqrt(4x-3)-1 has its slope (2)/(3) .

The equation of tangent to the curve y(1+x^(2))=2-x , where it crosses X-axis is ………….

NCERT GUJARATI-APPLICATION OF DERIVATIVES-EXERCISE 6.6
  1. Show that the normal at any point theta to the curve x=acostheta+at...

    Text Solution

    |

  2. Find the intervals in which the function f given by f(x)=(4sinx-2x-x c...

    Text Solution

    |

  3. Find the intervals in which the function f given by f(x)=\ x^3+1/(...

    Text Solution

    |

  4. Find the maximum area of an isosceles triangle inscribed in the ellip...

    Text Solution

    |

  5. A tank with rectangular base and rectangular sides, open at the top...

    Text Solution

    |

  6. The sum of the perimeter of a circle and square is k, where k is so...

    Text Solution

    |

  7. A window is in the form of a rectangle surmounted by a semicircular...

    Text Solution

    |

  8. A point on the hypotenuse of a triangle is at distance a and b from t...

    Text Solution

    |

  9. Find the points at which the function f given by f(x)=(x-2)^4(x+1)^3 h...

    Text Solution

    |

  10. Find the absolute maximum and minimum values of the function f give...

    Text Solution

    |

  11. Show that the altitude of the right circular cone of maximum volume...

    Text Solution

    |

  12. Let f be a function defined on [a, b] such that f^(prime)(x)>0, for al...

    Text Solution

    |

  13. Show that the height of the cylinder of maximum volume that can be ...

    Text Solution

    |

  14. Show that height of the cylinder of greatest volume which can be insc...

    Text Solution

    |

  15. A cylindrical tank of radius 10 m is being filled with wheat at the r...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. The normal to the curve x^2=4ypassing (1,2) is(A) x + y = 3 (B) x y ...

    Text Solution

    |

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

    Text Solution

    |