Home
Class 12
MATHS
If a normal chord subtends a right at th...

If a normal chord subtends a right at the vertex of the parabola `y^(2)=4ax,then find its inclination to the axis.

A

`1/sqrt2`

B

`sqrt2`

C

`-1/sqrt2`

D

`-sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B, D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (Single Option Correct Type Questions)|30 Videos

  • PARABOLA

    ARIHANT MATHS ENGLISH|Exercise Exercise (More Than One Correct Option Type Questions)|14 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

If a normal subtends a right angle at the vertex of a parabola y^(2)=4ax then its length is

If the normal subtends a right angle at the focus of the parabola y^(2)=8x then its length is

If the chord y = mx + c subtends a right angle at the vertex of the parabola y^2 = 4ax , thenthe value of c is

If chord BC subtends right angle at the vertex A of the parabola y^(2)=4x with AB=sqrt(5) then find the area of triangle ABC.

If x-2y-a=0 is a chord of the parabola y^(2)=4ax , then its langth, is

Find the length of normal chord which subtends an angle of 90^0 at the vertex of the parabola y^2=4xdot

Find the length of normal chord which subtends an angle of 90^0 at the vertex of the parabola y^2=4xdot

If the normal chord drawn at the point t to the parabola y^(2) = 4ax subtends a right angle at the focus, then show that ,t = pmsqrt2

Length of the shortest normal chord of the parabola y^2=4ax is

Two mutually perpendicular chords OA and OB are drawn through the vertex 'O' of a parabola y^(2)=4ax . Then find the locus of the circumcentre of triangle OAB.

ARIHANT MATHS ENGLISH-PARABOLA-Exercise For Session 2
  1. If 2x+y+lambda=0 is a normal to the parabola y^2=-8x , then lambda is ...

    Text Solution

    |

  2. If a normal chord subtends a right at the vertex of the parabola y^(2)...

    Text Solution

    |

  3. The common tangent to the parabola y^2=4ax and x^2=4ay is

    Text Solution

    |

  4. The circle x^2+y^2+4lamdax=0 which lamda in R touches the parabola y^...

    Text Solution

    |

  5. If the normals at two points P and Q of a parabola y^2 = 4ax intersect...

    Text Solution

    |

  6. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k...

    Text Solution

    |

  7. The set of points on the axis of the parabola y^2-4x-2y+5=0 from which...

    Text Solution

    |

  8. Prove that any three tangents to a parabola whose slopes are in harmon...

    Text Solution

    |

  9. prove that the locus of the point of intersection of the tangents at t...

    Text Solution

    |

  10. Find the equation of the normal to the parabola y^2=4x which is para...

    Text Solution

    |

  11. Find the equation of the normal to the parabola y^2=4x which is perp...

    Text Solution

    |

  12. The ordinates of points P and Q on the parabola y^2=12x are in the rat...

    Text Solution

    |

  13. The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on th...

    Text Solution

    |

  14. Three normals are drawn from (2lamda,0) to the parabola y^2=4x .Show t...

    Text Solution

    |

  15. If m1,m2 are the slopes of the two tangents that are drawn from (2,3) ...

    Text Solution

    |

  16. Find the angle between the tangents drawn from the origin to the pa...

    Text Solution

    |

  17. If (a , b) is the midpoint of a chord passing through the vertex of th...

    Text Solution

    |

  18. The diameter of the parabola y^2=6x corresponding to the system of par...

    Text Solution

    |

  19. Tangents are drawn from the point (-1, 2) to the parabola y^2 =4x The ...

    Text Solution

    |

  20. for parabola x^2+y^2+2xy−6x−2y+3=0, the focus is.

    Text Solution

    |