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

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

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

The point of intersection of the tangents of the parabola y^2=4x drawn at the endpoints of the chord x+y=2 lies on (a) x-2y=0 (b) x+2y=0 (c) y-x=0 (d) x+y=0

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

Find the equation of the tangent to the parabola y^2=4a x at the point (a t^2,\ 2a t) .

The slope of the tangent to the parabola y^(2)=4ax at the point (at^(2), 2at) is -

Find the equation of the chord of the parabola y^(2)=8x having slope 2 if midpoint of the chord lies on the line x=4.

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) .

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

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

If the straight line y=my+1 be the tangent of the parabola y^2=4x at the point (1,2), then the value of m will be

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

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

  2. If two distinct chords of a parabola y^2=4ax , passing through (a,2a) ...

    Text Solution

    |

  3. The point of intersection of the tangents of the parabola y^(2)=4x dra...

    Text Solution

    |

  4. Which of the following lines can be normal to parabola y^(2)=12x ?

    Text Solution

    |

  5. Which of the following line can be tangent to the parabola y^(2)=8x ?

    Text Solution

    |

  6. The locus of the midpoint of the midpoint of the focal distance of a v...

    Text Solution

    |

  7. A quadrilateral is inscribed in a parabola. Then

    Text Solution

    |

  8. A normal drawn to the parabola y^2=4a x meets the curve again at Q suc...

    Text Solution

    |

  9. The parabola y^2=4x and the circle having its center at (6, 5) interse...

    Text Solution

    |

  10. The extremities of latus rectum of a parabola are (1, 1) and (1,-1) . ...

    Text Solution

    |

  11. If y=2 is the directrix and (0,1) is the vertex of the parabola x^2+la...

    Text Solution

    |

  12. Through the vertex 'O' of parabola y^2=4x, chords OP and OQ are drawn...

    Text Solution

    |

  13. If two chords drawn from the point A(4,4) to the parabola x^2=4y are b...

    Text Solution

    |

  14. Consider the parabola y^2=4xdot Let A-=(4,-4) and B-=(9,6) be two fixe...

    Text Solution

    |

  15. The mirror image of the parabola y^(2)=4x in the tangent to the parabo...

    Text Solution

    |

  16. Two straight lines are perpendicular to each other. One of them touche...

    Text Solution

    |

  17. If the tangents and normal at the extremities of focal chord of a para...

    Text Solution

    |

  18. Radius of the circle that passes through the origin and touches the ...

    Text Solution

    |

  19. If A1B1 and A2B2 are two focal chords of the parabola y^2=4a x , then ...

    Text Solution

    |

  20. y=x+2 is any tangent to the parabola y^(2)=8x. The point P on this tan...

    Text Solution

    |