Home
Class 11
MATHS
The point of intersection of the tangent...

The point of intersection of the tangents at the ends of the latus rectum of the parabola `y^2=4x` is_____________

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The length of the latus rectum of the parabola x^(2) = -28y is

Find the length of latus rectum of the parabola x^(2)=4x-4y .

Find the length of the latus rectum of the parabola x^(2) = -8y .

Find the length of latus rectum of the parabola y^(2) = - 10 x

The length of the latus rectum of the parabola 4y^(2)+12x-20y+67=0 is

Statement 1: The point of intersection of the tangents at three distinct points A , B ,a n dC on the parabola y^2=4x can be collinear. Statement 2: If a line L does not intersect the parabola y^2=4x , then from every point of the line, two tangents can be drawn to the parabola.

Find the locus of points of intersection of tangents drawn at the end of all normal chords to the parabola y^2 = 8(x-1) .

The locus of point of intersection of tangents inclined at angle 45^@ to the parabola y^2 = 4x is

Find the vertex and length of latus rectum of the parabola x^(2)=-4(y-a) .

Find the focus, the equation of the directrix and the length of latus rectum of the parabola y^(2)+12=4x+4y .

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. The minimum area of circle which touches the parabolas y=x^2+1 and y^2...

    Text Solution

    |

  2. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

    Text Solution

    |

  3. The point of intersection of the tangents at the ends of the latus ...

    Text Solution

    |

  4. ·If the normals of the parabola y^2=4x drawn at the end points of it...

    Text Solution

    |

  5. From a point A, commont tangents are drawn to the circle x^2 + y^2=8 a...

    Text Solution

    |

  6. The angle between a pair of tangents drawn from a point P to the hyper...

    Text Solution

    |

  7. Three normals with slopes m1, m2 and m3 are drawn from a point P not o...

    Text Solution

    |

  8. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  9. Find the equation of the normal to curve x^2=4y which passes throug...

    Text Solution

    |

  10. Show that the locus of a point that divides a chord of slope 2 of the ...

    Text Solution

    |

  11. Points A, B, C lie on the parabola y^2=4ax The tangents to the parabol...

    Text Solution

    |

  12. If the focus of the parabola x^2-k y+3=0 is (0,2), then a values of k ...

    Text Solution

    |

  13. Let P be a point whose coordinates differ by unity and the point does ...

    Text Solution

    |

  14. Statement 1: The line x-y-5=0 cannot be normal to the parabola (5x-15)...

    Text Solution

    |

  15. If (h ,k) is a point on the axis of the parabola 2(x-1)^2+2(y-1)^2=(x+...

    Text Solution

    |

  16. Column I, Column II Points from which perpendicular tangents can...

    Text Solution

    |

  17. Consider the parabola y^2=12 x Column I, Column II Equation of ta...

    Text Solution

    |

  18. If the tangent at the point P(2,4) to the parabola y^2=8x meets the pa...

    Text Solution

    |

  19. Let P be the family of parabolas y=x^2+p x+q ,(q!=0), whose graphs cut...

    Text Solution

    |

  20. If normal at point P on the parabola y^2=4a x ,(a >0), meets it again ...

    Text Solution

    |