Home
Class 12
MATHS
Find the equations of the tangent and no...

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

Text Solution

Verified by Experts

The correct Answer is:
2a
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise JEE type solved examples|1 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise For Session 1|20 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

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

Find the equation of the tangent and normal to the Parabola y^(2)= 8x at (2, 4)

Find the equations of the tangent and normal to the parabola y^(2) =6x at the positive end of the latus rectum

Find the equation of normal to the parabola y^2=4ax at point (at^2, 2at)

Find the equation of the tangent and normal to the parabola x^(2)-4x-8y+12=0 at (4,(3)/(2))

Find the equation of the tangent to the parabola y=x^2-2x+3 at point (2, 3).

Find the equation of the tangent to the parabola y=x^2-2x+3 at point (2, 3).

The equation to the normal to the parabola y^(2)=4x at (1,2) is

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

ARIHANT MATHS ENGLISH-PARABOLA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the equations of the tangent and normal to the parabola y^2=4a x...

    Text Solution

    |

  2. about to only mathematics

    Text Solution

    |

  3. Let P be the point (1,0) and Q be a point on the locus y^(2)=8x. The l...

    Text Solution

    |

  4. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  5. about to only mathematics

    Text Solution

    |

  6. The locus of the vertex of the family of parabolas y=(a^3x^2)/3+(a^(2x...

    Text Solution

    |

  7. The angle between the tangents to the curve y=x^2-5x+6 at the point (2...

    Text Solution

    |

  8. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  9. Consider the circle x^2 + y^2 = 9 and the parabola y^2 = 8x. They inte...

    Text Solution

    |

  10. Find slope of tangent to the curve if equation is x^2 + y^2 = 9

    Text Solution

    |

  11. Statement 1 : The curve y=-(x^2)/2+x+1 is symmetric with respect to th...

    Text Solution

    |

  12. The equation of a tangent to the parabola y^2=""8x""i s""y""=""x""+...

    Text Solution

    |

  13. Consider two curves C1:y^2=4x ; C2=x^2+y^2-6x+1=0. Then, a. C1 and C2 ...

    Text Solution

    |

  14. If a parabola has the origin as its focus and the line x = 2 as the ...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. Let A and B be two distinct points on the parabola y^2=4x. If the ax...

    Text Solution

    |

  17. If two tangents drawn from a point P to the parabola y2 = 4x are at ri...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. about to only mathematics

    Text Solution

    |

  20. about to only mathematics

    Text Solution

    |

  21. about to only mathematics

    Text Solution

    |