Home
Class 12
MATHS
The mirror image of the parabola y^(2)=4...

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

Text Solution

Verified by Experts

`(x+1)^(2) = 4(y-1)`
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J ( Aakash Challengers Questions )|16 Videos

  • CONIC SECTIONS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - H ( Multiple True-False Type Questions )|5 Videos

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos

  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

The area of the region bounded by the parabola (y-2)^(2)=x-1 , the tangent to the parabola at the point (2,3) and the x-axis is

The area of the region bounded by the parabola (y-2)^(2) = x- 1 , the tangent to the parabola at the point (2,3) and the x-axis is

The normal to the parabola y^(2)=8x at the point (2, 4) meets the parabola again at eh point

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

The area of the figure bounded by the parabola (y-2)^(2)=x-1, the tangent to it at the point with the ordinate y=3, and the x-axis is

Consider the following lines : L_(1) : x-y-1=0 L_(2):x+y-5=0 L_(3):y-4=0 Let L_(1) is axis to a parabola, L_(2) is tangent at the vertex to this parabola and L_(3) is another tangent to this parabola at some point P. Let 'C' be the circle circumscribing the triangle formed by tangent and normal at point P and axis of parabola. The tangent and normals at normals at the extremities of latus rectum of this parabola forms a quadrilateral ABCD. Q. The equation of the circle 'C' is :

The locus of the poles of tangents to the parabola y^(2)=4ax with respect to the parabola y^(2)=4ax is

Find the point on the parabola y=(x-3)^2, where the tangent is parabola to the line joining (3,0) and (4,1

Let the curve C be the mirror image of the parabola y^2 = 4x with respect to the line x+y+4=0 . If A and B are the points of intersection of C with the line y=-5 , then the distance between A and B is

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION -I ( Subjective Type Questions )
  1. Two circles are inscribed and circumscribed about a square ABCD, lengt...

    Text Solution

    |

  2. The square of the length of the tangent drawn from any point on the ci...

    Text Solution

    |

  3. l and m are the lengths of the tangents from the origin and the point ...

    Text Solution

    |

  4. The least distance between two points P and Q on the circle x^(2) + y^...

    Text Solution

    |

  5. The sum of the square of the length of the chord intercepted by the li...

    Text Solution

    |

  6. The area of the region bounded by the curves {(x,y) : x^(2) + y^(2) le...

    Text Solution

    |

  7. The chord of contact of tangents from 3 points A, B, C to the circle x...

    Text Solution

    |

  8. Let x, y be real variable satisfying x^(2) + y^(2) + 8x - 10y - 59 = 0...

    Text Solution

    |

  9. If the tangent at P to the parabola y^(2) =7x is parallel to 6y -x + 1...

    Text Solution

    |

  10. Find the equation of common tangent of y^(2)=4axandx^(2)=4by.

    Text Solution

    |

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

    Text Solution

    |

  12. Locus of the point of intersection of the tangents to (x^(2))/((73)^(2...

    Text Solution

    |

  13. Find the equation of the circle passing through the points of intersec...

    Text Solution

    |

  14. find the equation of parabola which is symmetric about y-axis,and pass...

    Text Solution

    |

  15. Find the point on the curve 3x^2-4y^2=72 which is nearest to the line ...

    Text Solution

    |

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

    Text Solution

    |

  17. If the tangents and normal to an ellipse 9x^(2) + 16y^(2) = 144 at a p...

    Text Solution

    |

  18. A chord of parabola y^2=4ax subtends a right angle at the vertex. Find...

    Text Solution

    |

  19. Let PN be the ordinate of a point P on the hyperbola x^2/(97)^2-y^2...

    Text Solution

    |

  20. Let C be a curve which is the locus of the point of intersection of li...

    Text Solution

    |