Home
Class 11
MATHS
A B is a double ordinate of the parabola...

`A B` is a double ordinate of the parabola `y^2=4a xdot` Tangents drawn to the parabola at `Aa n dB` meet the y-axis at `A_1a n dB_1` , respectively. If the area of trapezium `A_1A_1B_1B` is equal to `12 a^2,` then the angle subtended by `A_1B_1` at the focus of the parabola is equal to

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

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

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

The area (in sq. units) bounded by the parabola y=x^2-1 , the tangent at the point (2,3) to it and the y-axis is

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

Two mutually perpendicular tangents of the parabola y^(2)=4ax meet the axis at P_(1)andP_(2) . If S is the focal of the parabola, Then (1)/(SP_(1))+(1)/(SP_(2)) is equal to

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

Find the area bounded by the parabola y^(2) =4ax and its double ordinate x =b

From the point (-1, -6) two tangents are drawn to the parabola y^(2)= 4x . Then the angle between the tangents is-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

    Text Solution

    |

  2. If y=m1x+c and y=m2x+c are two tangents to the parabola y^2+4a(x+c)=0 ...

    Text Solution

    |

  3. A B is a double ordinate of the parabola y^2=4a xdot Tangents drawn to...

    Text Solution

    |

  4. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y^2=8x...

    Text Solution

    |

  5. A line of slope lambda(0 < lambda < 1) touches the parabola y+3x^2=0 a...

    Text Solution

    |

  6. If y=2x-3 is tangent to the parabola y^(2)=4a(x-(1)/(3)), then a is eq...

    Text Solution

    |

  7. The straight lines joining any point P on the parabola y^2=4a x to the...

    Text Solution

    |

  8. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  9. A tangent is drawn to the parabola y^2=4 x at the point P whose abscis...

    Text Solution

    |

  10. A parabola y=a x^2+b x+c crosses the x-axis at (alpha,0)(beta,0) both ...

    Text Solution

    |

  11. From a point on the circle x^2+y^2=a^2 , two tangents are drawn to the...

    Text Solution

    |

  12. Prove that the line joining the orthocentre to the centroid of a tr...

    Text Solution

    |

  13. A is a point on the parabola y^2=4a x . The normal at A cuts the parab...

    Text Solution

    |

  14. The equation of the line that touches the curves y=x|x| and x^2+(y-2)^...

    Text Solution

    |

  15. Let PQ be a chord of the parabola y^2=4x. A circle drawn with PQ as a...

    Text Solution

    |

  16. Statement 1: Through (lambda,lambda+1) , there cannot be more than one...

    Text Solution

    |

  17. Statement 1 : Slopes of tangents drawn from (4, 10) to the parabola ...

    Text Solution

    |

  18. Statement 1: The line joining the points (8,-8)a n d(1/2,2), which are...

    Text Solution

    |

  19. The vertices A,B, and C of a variable right triangle lie on a parabol...

    Text Solution

    |

  20. Show that the common tangents to the parabola y^2=4x and the circle x^...

    Text Solution

    |