Home
Class 12
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_____________

Text Solution

Verified by Experts

The correct Answer is:
`(-1,0)`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    VMC MODULES ENGLISH|Exercise JEE MAIN ARCHIVE|15 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

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 .

VMC MODULES ENGLISH-CONIC SECTIONS-JEE ADVANCED ARCHIVE
  1. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

  2. Let a, r, s, t be non-zero real numbers. Let P(at^(2),2at),Q(ar^(2),2a...

    Text Solution

    |

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

    Text Solution

    |

  4. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

    Text Solution

    |

  5. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  6. If P=(x , y),F1=(3,0),F2=(-3,0), and 16 x^2+25 y^2=400 , then P F1+P F...

    Text Solution

    |

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

    Text Solution

    |

  8. The locus of the foot of perpendicular drawn from the centre of the...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  11. If tangents are drawn to the ellipse x^2+2y^2=2, then the locus of the...

    Text Solution

    |

  12. Tangent is drawn to ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costheta,sint...

    Text Solution

    |

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

    Text Solution

    |

  14. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  16. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  17. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. A hyperbola having the transverse axis of length 2 sin theta is confoc...

    Text Solution

    |

  20. If e1 is the eccentricity of the ellipse x^2/16+y^2/25=1 and e2 is th...

    Text Solution

    |