Home
Class 12
MATHS
From a point (h,k) three normals are dra...

From a point (h,k) three normals are drawn to the parabola `y^2=4ax`. Tangents are drawn to the parabola at the of the normals to form a triangle. The Centroid of G of triangle is

A

`(-(a)/(2),k)`

B

`((a)/(2),k)`

C

`(-a,k)`

D

`(a,k)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise LEVEL - 2|111 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise Numerical Value Type for JEE Main|15 Videos

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE|76 Videos

  • COMPLEX NUMBERS

    VMC MODULES ENGLISH|Exercise JEE ARCHIVE|76 Videos

  • DIFFERENTIAL CALCULUS

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|75 Videos

Similar Questions

Explore conceptually related problems

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then the value of a is

From a point (sintheta,costheta) , if three normals can be drawn to the parabola y^(2)=4ax then find the value of a .

Three normals to the parabola y^2= x are drawn through a point (C, O) then C=

Three normals drawn from a point (h k) to parabola y^2 = 4ax

The normal to the parabola y^(2)=8ax at the point (2, 4) meets the parabola again at the point

If the normal to the parabola y^2=4ax at the point (at^2, 2at) cuts the parabola again at (aT^2, 2aT) then

If from a point A, two tangents are drawn to parabola y^2 = 4ax are normal to parabola x^2 = 4by , then

From a point P, tangents PQ and PR are drawn to the parabola y^(2)=4ax . Prove that centroid lies inside the parabola.

If three distinct normals can be drawn to the parabola y^(2)-2y=4x-9 from the point (2a, 0) then range of values of a is

The number of normals drawn to the parabola y^(2)=4x from the point (1,0) is

VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. about to only mathematics

    Text Solution

    |

  2. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

    Text Solution

    |

  3. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

    Text Solution

    |

  4. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

    Text Solution

    |

  5. From a point (h,k) three normals are drawn to the parabola y^2=4ax. Ta...

    Text Solution

    |

  6. Let A and B be two points on y^(2)=4ax such that normals to the curve ...

    Text Solution

    |

  7. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

    Text Solution

    |

  8. If (-2a,a+1) lies in the interior (smaller region) bounded by the circ...

    Text Solution

    |

  9. Prove that the locus of the point of intersection of the normals at th...

    Text Solution

    |

  10. The angle of intersection between the curves y^2=4x" and "x^2=32y at p...

    Text Solution

    |

  11. The algebraic sum of the ordinates of the feet of 3 normals drawn to t...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. From the point P(-1,2) tangents are drawn to the parabola y^2=4x. Find...

    Text Solution

    |

  14. From the focus of the parabola y^2=2px as centre, a circle is drawn so...

    Text Solution

    |

  15. The maximum number of common chords of a parabola and a circle can be

    Text Solution

    |

  16. If a!=0 and the line 2b x+3c y+4d=0 passes through the points of in...

    Text Solution

    |

  17. If length of focal chord P Q is l , and p is the perpendicular distanc...

    Text Solution

    |

  18. The length of the chord of the parabola y^2=x which is bisected at the...

    Text Solution

    |

  19. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

    Text Solution

    |

  20. The mid-point of the chord intercepted on the line 4x-3y+4=0 by the pa...

    Text Solution

    |