Home
Class 11
MATHS
Statement 1: In the parabola y^2=4a x , ...

Statement 1: In the parabola `y^2=4a x ,` the circle drawn the taking the focal radii as diameter touches the y-axis. Statement 2: The portion of the tangent intercepted between the point of contact and directrix subtends an angle of `90^0` at focus.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Prove that the portion of the tangent intercepted,between the point of contact and the directrix of the parabola y^(2)= 4ax subtends a right angle at its focus.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

For the curve x y=c , prove that the portion of the tangent intercepted between the coordinate axes is bisected at the point of contact.

The circles on the focal radii of a parabola as diameter touch: A) the tangent at the vertex B) the axis C) the directrix D) latus rectum

The length of the tangent of the ellipse x^2/25+y^2/16=1 intercepted between auxiliary circle such that the portionof the tangent intercepted between the auxiliary circle subtends equal angles at foci is

Show that the length of the tangent to the parabola y^2 = 4ax intercepted between its point of contact and the axis of the parabola is bisected by the tangent at the vertex.

Prove that the portion of the tangent to the curve (x+sqrt(a^2-y^2))/a=(log)_e(a+sqrt(a^2-y^2))/y intercepted between the point of contact and the x-axis is constant.

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

Find the locus of the midpoints of the portion of the normal to the parabola y^2=4a x intercepted between the curve and the axis.

A circle of radius 4 drawn on a chord of the parabola y^(2)=8x as diameter touches the axis of the parabola. Then the slope of the chord is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Each question has four choices a, b, c and d, out of which only one is...

    Text Solution

    |

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

    Text Solution

    |

  3. Statement 1: In the parabola y^2=4a x , the circle drawn the taking th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. Consider a curve C : y^2-8x-2y-15=0 in which two tangents T1a n dT2 ar...

    Text Solution

    |

  7. Statement 1: The line a x+b y+c=0 is a normal to the parabola y^2=4a x...

    Text Solution

    |

  8. Statement 1: The length of focal chord of a parabola y^2=8x making on ...

    Text Solution

    |

  9. Statement 1: (5x-5)^2+(5y+10)^2=(3x+4y+5)^2 is a parabola. Statement 2...

    Text Solution

    |

  10. If the bisector of angle A P B , where P Aa n dP B are the tangents to...

    Text Solution

    |

  11. If d is the distance between the parallel tangents with positive slop...

    Text Solution

    |

  12. If P(t^2,2t),t in [0,2] , is an arbitrary point on the parabola y^2=4x...

    Text Solution

    |

  13. If the parabola y=a x^2-6x+b passes through (0,2) and has its tangent ...

    Text Solution

    |

  14. If the locus of the middle of point of contact of tangent drawn to the...

    Text Solution

    |

  15. The minimum area of circle which touches the parabolas y=x^2+1 and y^2...

    Text Solution

    |

  16. Tangent is drawn to parabola y^(2)-2y-4x+5=0 at a point P which cuts t...

    Text Solution

    |

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

    Text Solution

    |

  18. ·If the normals of the parabola y^2=4x drawn at the end points of it...

    Text Solution

    |

  19. From a point A, commont tangents are drawn to the circle x^2 + y^2=8 a...

    Text Solution

    |

  20. The angle between a pair of tangents drawn from a point P to the hyper...

    Text Solution

    |