Home
Class 12
MATHS
The equation of the normal to the parabo...

The equation of the normal to the parabola `y^(2) =4ax ` at the point `(at^(2), 2at)` is-

A

` tx+y=2at+at^(3)`

B

` x+ty=2at+at^(3)`

C

`tx-y=at +2at^(3)`

D

`x-ty=at+2at^(3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 3|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

Find the equations of the tangent and normal to the parabola y^(2) = 4ax at the point (at^(2) , 2at).

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

Find the equation of the tangent to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

Find the equation of the normal to the parabola y^(2)=4ax at a point (x_(1),y_(1)) on it. Show that three normal can be drawn to a parabola from an external point.

Find the equation of the tangent to the parabola y^(2)=8x at the point (2t^(2),4t) . Hence find the equation of the tangnet to this parabola, perpendicular to x+2y+7=0

The point of intersection of the tangents to the parabola y^(2)=4ax at the points t_(1) and t_(2) is -

Show that the equation of the chord of the parabola y^(2) = 4ax through the points (x_(1),y_(1)) and (x_(2),y_(2)) on it is (y-y_(1))(y-y_(2)) = y^(2) - 4ax

Find the equation of normal to the hyperbola 4x^(2)-9y^(2)=36 , at the point (1,2)

Show that the equation of the chord of the parabola y^2=4ax through the points (x_1,y_1) and (x_2,y_2) on its (y-y_1)(y-y_2)=y^2-4ax.

Find the equation of normal to the parabola y^(2)=4x , paralle to the straight line y=2x .

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
  1. The area (in square unit) of the region bounded by the curves 4x+3y=12...

    Text Solution

    |

  2. The ratio of the areas bounded by the curves y= cos x and y=cos 2x bet...

    Text Solution

    |

  3. The equation of the normal to the parabola y^(2) =4ax at the point (...

    Text Solution

    |

  4. If the slope of the normal to the parabola 3y^(2) + 4y +2=x at a point...

    Text Solution

    |

  5. If the line lx + my +n=0 is a tangent to the parabola y^(2)= 4ax , the...

    Text Solution

    |

  6. The area ( in square unit ) in the first quadrant bounded by the parab...

    Text Solution

    |

  7. The equations of the tangents to the hyperbola 3x^(2) -4y^(2)=12 whic...

    Text Solution

    |

  8. The equation of tangent to the curve xy^(2)= 4(4-x) where it meets the...

    Text Solution

    |

  9. The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta...

    Text Solution

    |

  10. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  11. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

    Text Solution

    |

  12. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

    Text Solution

    |

  13. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

    Text Solution

    |

  14. The function y=a(1- cos x) is maximum when x is-

    Text Solution

    |

  15. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

    Text Solution

    |

  16. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

    Text Solution

    |

  17. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

    Text Solution

    |

  18. The length of the longest interval in which the function 3 sin x - 4 s...

    Text Solution

    |

  19. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  20. If minimum value of f(x)=x^(2)+2bx +2c^(2) is greater than maximum va...

    Text Solution

    |