Home
Class 12
MATHS
The point on the curve y^2=x, where the ...

The point on the curve `y^2=x`, where the tangent makes an angle of `pi/4` with x-axis is

A

`(1/2,1/4)`

B

`(1/4,1/2)`

C

(4,2)

D

(1,1)

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    MODERN PUBLICATION|Exercise EXERCISE|433 Videos

  • APPLICATIONS OF THE INTEGRALS

    MODERN PUBLICATION|Exercise EXERCISE|211 Videos

Similar Questions

Explore conceptually related problems

At what point of the curve y = x^2 does the tangent make an angle of 45^@C with the x-axis?

Find the points on the curve x^2+y^2-2x-3 = 0 at which the tangents are parallel to the x-axis.

The point on the curve y = x^2 - 4 x + 4 at which the tangent is parallel to x-axis is

Determine the points on the curve x^2 + y^2 = 13 , where the tangents are perpendicular to the line 3x - 2y = 0

Find the points on the curve 4x^2+9y^2=1 ,where the tangents are perpendicular to the line 2y+x=0

Find points on the curve x^2/9+y^2/16 = 1 at which the tangents are parallel to x-axis

Find points on the curve x^2/4 + y^2/25 = 1 at which the tangents are parallel to x-axis.

Find the point (s) on the curve y = {x(x-2)}^2 at which the tangent is parallel to x-axis.

At what point on the curve y = x^2 - 2x , the tangent is parallel to x-axis.

Find the point(s) on the curve: y = 3x^2 - 12 x + 6 at which the tangent is parallel to x-axis.

MODERN PUBLICATION-APPLICATION OF DERIVATIVES-EXERCISE
  1. The tangent to the curve given by: x=e^t cos t,y =e^t sin t at t = pi/...

    Text Solution

    |

  2. The equation of the normal to the curve y = sin x at (0,0) is

    Text Solution

    |

  3. The point on the curve y^2=x, where the tangent makes an angle of pi/4...

    Text Solution

    |

  4. The volume of a cube is increasing at the rate of 9 "cm"^(3)//sec. How...

    Text Solution

    |

  5. The length 'x' of a rectnagle is decreasing at the rate of 3cm/m and t...

    Text Solution

    |

  6. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

    Text Solution

    |

  7. The radius of an air bubble is increasing at the rate of 1/2 cm/s. At...

    Text Solution

    |

  8. Find the slope of tangent to the curve y=2x^2-3 at x=1/4

    Text Solution

    |

  9. The interval for which the function f(x)=x^2-6x+3, is strictly increas...

    Text Solution

    |

  10. The absolute maximum value of the function f(x) = x^2 - 3x on [0,2] is

    Text Solution

    |

  11. The slope of the tangent to the curve given by: x=1-costheta, y=theta-...

    Text Solution

    |

  12. Which of the following has neither local maxima nor local minima?

    Text Solution

    |

  13. Edge of a cube is increasing at the rate of 2 cm/s. The rate of change...

    Text Solution

    |

  14. Radius of a sphere is increasing at the rate of 2 cm/s The rate of cha...

    Text Solution

    |

  15. In which of the following interval x^2 e^x is increasing ?

    Text Solution

    |

  16. For what value of x, slope of the tangent to the curve y = x^3 + x + 1...

    Text Solution

    |

  17. The value of x for which function sin 2x attains its maximum is :

    Text Solution

    |

  18. Which of the following functions are strictly decreasing on ( 0, pi/2 ...

    Text Solution

    |

  19. The radius of an air bubble is increasing at the rate of 0.2 cm/s. The...

    Text Solution

    |

  20. In [0,pi/2] the function f(x) = log sin x is

    Text Solution

    |