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 PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the latus rectum of the parabola (y-3)^2=6(x-2)

The length of the latus rectum of the parabola x^2 −4x−8y+12=0 is

The length of latus rectum of the parabola 3x^(2) =- 8y is _

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^(2)-y^(2)=a^(2)" is " a^(2)(y^(2)-x^(2))=4x^(2)y^(2) .

Prove that the locus of the point of intersection of the tangents at the ends of the normal chords of the hyperbola x^2-y^2=a^2 is a^2(y^2-x^2)=4x^2y^2dot

The length of latus rectum of the parabola (y-1)^(2) =- 6( x+2) is_

Find the locus of the point of intersection of the normals at the end of the focal chord of the parabola y^2=4a xdot

The coordinates of one of the end-points of the latus rectum of the parabola (y - 1)^(2) = 2(x + 2 ) are _

Find the length of the latus rectum of the parabola y =- 2x^(2) + 12 x - 17 .

The point of intersection of the tangents to the parabola y^(2)=4ax at the points t_(1) and t_(2) is -

CENGAGE PUBLICATION-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 its l...

    Text Solution

    |

  5. From a point A common tangents are drawn to a circle x^2 +y^2 = a^2/2 ...

    Text Solution

    |

  6. If two tangents drawn from a point P to the parabola y^2 = 4x are at r...

    Text Solution

    |

  7. Normals are drawn from the point P with slopes m(1),m(2)andm(3) to tha...

    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 the curve x^(2) = 4y which passes t...

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. If line P Q , where equation is y=2x+k , is a normal to the parabola w...

    Text Solution

    |

  20. The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with...

    Text Solution

    |