Home
Class 11
MATHS
Double ordinate A B of the parabola y^2=...

Double ordinate `A B` of the parabola `y^2=4a x` subtends an angle `pi/2` at the focus of the parabola. Then the tangents drawn to the parabola at `Aa n dB` will intersect at

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 focus of the parabola y=x^2+x+1 .

The focus of the parabola y = 2x^(2) + x is

The focus of the parabola y = 2x^(2) + x is

The focus of the parabola y = 2x^(2) + x is

If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) with the axis of the parabola, then its length, is

The coordinates of focus of the parabola y^(2) =- 5x are _

The coordinates of focus of the parabola 2y^2=-5x are

The mirror image of the parabola y^2= 4x in the tangent to the parabola at the point (1, 2) is:

Two tangents on a parabola are x-y=0 and x+y=0. S(2,3) is the focus of the parabola. The length of latus rectum of the parabola is

Find the angle between the tangents drawn from (1, 3) to the parabola y^2=4xdot

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The angle between the tangents to the paranola y^(2)=4ax at the points...

    Text Solution

    |

  2. The area of the triangle formed by the tangent and the normal to the ...

    Text Solution

    |

  3. Double ordinate A B of the parabola y^2=4a x subtends an angle pi/2 at...

    Text Solution

    |

  4. Statement 1: The normals at the points (4, 4) and (1/4,-1) of the para...

    Text Solution

    |

  5. Let A and B two distinct points on the parabola y^(2)=4x. If the axis ...

    Text Solution

    |

  6. The equations of the common tangents to the parabola y = x^2 and y=-...

    Text Solution

    |

  7. Let (x,y) be any point on the parabola y^2 = 4x. Let P be the point t...

    Text Solution

    |

  8. The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  14. A quadrilateral is inscribed in a parabola. Then

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |