Home
Class 12
MATHS
Tangent to the curve x^(2)=2y at the poi...

Tangent to the curve `x^(2)=2y` at the point `(1, (1)/(2))` makes with the X-axes an angle of

A

`0^@`

B

`45^@`

C

`30^@`

D

`60^@`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise COMPETITIVE THINKING|161 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPLICATIONS OF DERIVATIVES

    TARGET PUBLICATION|Exercise EVALUATION TEST|20 Videos
  • APPICATIONS OF DEFINITE INTEGRAL

    TARGET PUBLICATION|Exercise EVALUATION TEST|18 Videos
  • BINOMIAL DISTRIBUTION

    TARGET PUBLICATION|Exercise EVALUTION TEST|12 Videos

Similar Questions

Explore conceptually related problems

If lines T_(1) and T_(2) are tangent to the curve y=x^(2)-3x+2 at the points where the curve meets the X- axes , then

Equation of the tangent to the curve y=1-2^(x//2) at the point of intersection with the Y-axes is

If the slope of the curve y=(ax)/(b-x) at the point (1, 1) is 2, then

The equation of the tangent to the curve y=1-e^(x//2) at the tangent to the curve y=1-e^(x//2) at the point of intersection with the y-axis, is

Find the slope of the tangent to the curve y(x^2+1)=x at the point (1, 1/2)

Equations of tangents to the curve y=x-(1)/(x) at the points where the curve meets the X- axes are

The tangent to the curve x^(2) = y at (1,1) makes an angle theta with the positive direction of x-axis. Which one of the following is correct ?

Equation of the tangent to the curve y=2-3x-x^(2) at the point where the curve meets the Y -axes is

If the tangent to the curve y^(2)=ax^(2)+b at the point (2,3) is y=4x-5, then (a,b)=

If the two tangents to the curve y=ax^(3)-2x-1 at the poits x=1 and x=3 are both parallel to X- axes , then: a=

TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-CRITICAL THINKING
  1. Inclination of the normal to the curve xy=15 at the point (3,5) is

    Text Solution

    |

  2. Tangent to the curve x^(2)=2y at the point (1, (1)/(2)) makes with the...

    Text Solution

    |

  3. At what point on the curve x^(3) - 8a^(2) y= 0 the slope of the nor...

    Text Solution

    |

  4. The points on the curve x^2=3-2y , where the tangent is parallel to x+...

    Text Solution

    |

  5. If the tangent to the curve y=6x-x^2 is parallel to line 4x-2y-1=0, t...

    Text Solution

    |

  6. If the tangent to the curve y=2x^2-x+1 at a point P is parallel to y=3...

    Text Solution

    |

  7. Co-ordinates of a point on the curve y=x log x at which at normal is p...

    Text Solution

    |

  8. Find the point on the parabola y=(x-3)^2, where the tangent is p...

    Text Solution

    |

  9. The fixed point P on the curve y=x^(2)-4x+5 such that the tangent at P...

    Text Solution

    |

  10. The tangent to the curve x^2+y^2-2x-3=0 is parallel to X-axis at the p...

    Text Solution

    |

  11. The point (s) on the curve y^3+3x^2=12y. Where the tangent is parallel...

    Text Solution

    |

  12. The tangent to the curve y=ax^2+bx at (2,-8) is parallel to X-axis the...

    Text Solution

    |

  13. If the curve y=a x^2-6x+b pass through (0,2) and has its tangent paral...

    Text Solution

    |

  14. The equation of normal to the curve x=(1)/(t), y=t-(1)/(t)" at "t=2 is

    Text Solution

    |

  15. The equation of tangent to the curve x=a sec theta, y =a tan theta" at...

    Text Solution

    |

  16. Equations to the tangent and normal to curve y=x^3+2x^2-4x-43 at the p...

    Text Solution

    |

  17. If the normal line at (1, -2) on the curve y^2=5x-1 is ax - 5y +b=0 th...

    Text Solution

    |

  18. The equation of normal to the curve x^(2//3)+y^(2//3)=a^(2//3) at (asi...

    Text Solution

    |

  19. The equation of the tangent to the curve y=x+4/(x^(2)),l thant is para...

    Text Solution

    |

  20. Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...

    Text Solution

    |