Home
Class 12
MATHS
PQ is a normal chord of the parabola ...

PQ is a normal chord of the parabola `y^2 =4ax` at P, A being the vertex of the parabola. Through P, a line is drawn parallel to AQ meeting the x-axis at R. Then the line length of AR is
(A) equal to the length of the latus rectum (B)equal to the focal distance of the point  P   (C) equal to twice the focal distance of the point  P   (D) equal to the distance of the point  P  from the directrix.

A

the length of latusrectum

B

the focal distance of point P

C

the twice the focal distance of point P

D

the distance of the point P from the directrix

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
VMC MODULES ENGLISH-CONIC SECTIONS-LEVEL - 1
  1. If length of focal chord P Q is l , and p is the perpendicular distanc...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The polar of a point with respect to y^2=4x touches x^2=4y. If the loc...

    Text Solution

    |

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

    Text Solution

    |

  7. If two different tangents of y^2=4x are the normals to x^2=4b y , then...

    Text Solution

    |

  8. If the circle x ^(2) + y^(2) + 2gx + 2fy+ c=0 touches X-axis, then

    Text Solution

    |

  9. Find the minimum distance between the curves y^(2)=4x and x^(2)+y^(2)-...

    Text Solution

    |

  10. Normal drawn to y^2=4a x at the points where it is intersected by the ...

    Text Solution

    |

  11. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  12. about to only mathematics

    Text Solution

    |

  13. If a >2b >0, then find the positive value of m for which y=m x-bsqrt(1...

    Text Solution

    |

  14. about to only mathematics

    Text Solution

    |

  15. Let the length of the latus rectum of an ellipse with its major axis a...

    Text Solution

    |

  16. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  17. If the length of the semi-major axis of an ellipse is 68 and e = 1/2, ...

    Text Solution

    |

  18. For what value of lambda touches the ellipse 9x^(2)+16y^(2)=144.

    Text Solution

    |

  19. If the normals at an end of a latus rectum of an ellipse passes throug...

    Text Solution

    |

  20. The eccentricity of the ellipse which meets the straight line x/7+y/2=...

    Text Solution

    |