Home
Class 12
MATHS
The point of intersection of the normals...

The point of intersection of the normals to the parabola `y^2=4x` at the ends of its latus rectum is

A

`(0,2)`

B

`(3,0)`

C

`(0,3)`

D

`(2,0)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise QUESTIONS FROM PREVIOUS YEARS. B-ARCHITECTRE ENTRANCE EXAMINATION PAPERS|9 Videos
  • PARABOLA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (NUMERICAL ANSWER TYPE QUESTIONS)|15 Videos
  • MATRICES

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B -Architecture Entrance Examination Papers|22 Videos
  • PERMUTATIONS AND COMBINATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers |17 Videos

Similar Questions

Explore conceptually related problems

Find the equations of normal to the parabola y^(2)=4ax at the ends of the latus rectum.

The point of intersection of the tangents of the parabola y^(2)=4x drawn at the end point of the chord x+y=2 lies on

The normal to y^(2)=4a(x-a) at the upper end of the latus rectum is

The point of intersection of the two tangents to the ellipse the 2x^(2)+3y^(2)=6 at the ends of latus rectum is

What is the area of the parabola y^(2) = x bounde by its latus rectum ?

The point of intersection of the two tangents at the ends of the latus rectum of the parabola (y+3)^(2)=8(x-2)

A variable chord of the parabola y^(2)=8x touches the parabola y^(2)=2x. The the locus of the point of intersection of the tangent at the end of the chord is a parabola.Find its latus rectum.

MCGROW HILL PUBLICATION-PARABOLA-QUESTIONS FROM PREVIOUS YEARS. AIEEE/JEE MAIN PAPERS
  1. Statement-1: The slopw of the tangent at any point P on a parabola, wh...

    Text Solution

    |

  2. Statement 1 : The line x-2y=2 meets the parabola, y^2 + 2x = 0 only at...

    Text Solution

    |

  3. The point of intersection of the normals to the parabola y^2=4x at the...

    Text Solution

    |

  4. The slope of the line touching both the parabolas y^2=4x and x^2=−32y ...

    Text Solution

    |

  5. Area common to the circle x^(2)+y^(2)=9 an the parbola y^(1)=8x is

    Text Solution

    |

  6. Two tangents are drawn from a point (-2, -1) to the curve y^(2)=4x. If...

    Text Solution

    |

  7. A chord is drawn through the focus of the parabola y^(2)=6x such that ...

    Text Solution

    |

  8. Let O be the vertex and Q be any point on the parabola,x^2=""8y . I...

    Text Solution

    |

  9. Let PQ be a double ordinate of the parabola, y^2=-4x where P lies in t...

    Text Solution

    |

  10. If the tangent to the conic, y - 6= x^2 at (2, 10) touches the circle,...

    Text Solution

    |

  11. Let P be the point on the parabola, y^2=8x which is at a minimum dis...

    Text Solution

    |

  12. The minimum distance of a point on the curve y=x^2 -4 from the origin ...

    Text Solution

    |

  13. P and Q are two distinct points on the parabola, y^2 = 4x with paramet...

    Text Solution

    |

  14. If the common tangents to the parabola x^2 = 4y and the circle x^2 + y...

    Text Solution

    |

  15. If y=mx+c is the normal at a point on the parabola y^(2)=8x whose foca...

    Text Solution

    |

  16. The radius of a circle, having minimum area, which touches the curve y...

    Text Solution

    |

  17. Tangent and normal are drawn at P(16,16) on the parabola y^2=16x which...

    Text Solution

    |

  18. Two parabola with a coomon vertex and with axes along x-axis and y-ax...

    Text Solution

    |

  19. Axis of a parabola lies along x-axis. If its vertex and focus are at d...

    Text Solution

    |

  20. The length of the chord of the parabola x^(2) = 4y having equations x ...

    Text Solution

    |