Home
Class 11
MATHS
A tangent is drawn to the parabola y^2=4...

A tangent is drawn to the parabola `y^2=4a x` at `P` such that it cuts the y-axis at `Qdot` A line perpendicular to this tangents is drawn through `Q` which cuts the axis of the parabola at `R` . If the rectangle `P Q R S` is completed, then find the locus of `Sdot`.

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

Two perpendicular chords are drawn from the origin O to the parabola y=x^2 , which meet the parabola at P and Q. Rectangle POQR is completed. Find the locus of vertex R.

A tangent is drawn to the parabola y^(2)=8x at P(2, 4) to intersect the x-axis at Q, from which another tangent is drawn to the parabola to touch it at R. If the normal at R intersects the parabola again at S, then the coordinates of S are

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

If a tangent to the parabola y^2=4a x meets the x-axis at T and intersects the tangents at vertex A at P , and rectangle T A P Q is completed, then find the locus of point Qdot

.If the tangent to the parabola y 2 =4ax meets the axis in T and tangent at the vertex A in Y and the recatngle TAYG is completed, then the locus of G is

A tangent is drawn to parabola y^2=8x which makes angle theta with positive direction of x-axis. The equation of tangent is

If a tangent to the parabola y^(2) = 4ax meets the x-axis in T and the tangent at the Vertex A in P and the rectangle TAPQ is completed then locus of Q is

Tangents are drawn to the parabola y^2=4x at the point P which is the upper end of latusrectum . Area enclosed by the tangent line at, P,X axis and the parabola is

A P is perpendicular to P B , where A is the vertex of the parabola y^2=4x and P is on the parabola. B is on the axis of the parabola. Then find the locus of the centroid of P A Bdot

Tangents are drawn to the parabola y^2=4a x at the point where the line l x+m y+n=0 meets this parabola. Find the point of intersection of these tangents.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the range of parameter a for which a unique circle will pass thro...

    Text Solution

    |

  2. Find the radius of the largest circle, which passes through the focus ...

    Text Solution

    |

  3. A tangent is drawn to the parabola y^2=4a x at P such that it cuts the...

    Text Solution

    |

  4. Tangents are drawn to the parabola at three distinct points. Prove tha...

    Text Solution

    |

  5. Statement 1: The circumcircle of a triangle formed by the lines x=0...

    Text Solution

    |

  6. Statement 1: The point of intersection of the tangents at three dis...

    Text Solution

    |

  7. Statement 1: If the straight line x=8 meets the parabola y^2=8x at Pa ...

    Text Solution

    |

  8. Statement 1: Normal chord drawn at the point (8, 8) of the parabola...

    Text Solution

    |

  9. Statement 1: The value of alpha for which the point (alpha,alpha^2) li...

    Text Solution

    |

  10. Statement 1: If there exist points on the circle x^2+y^2=a^2 from whic...

    Text Solution

    |

  11. Let L be a normal to the parabola y^2=4x dot If L passes through the p...

    Text Solution

    |

  12. Let P and Q be distinct points on the parabola y^2 = 2x such that a c...

    Text Solution

    |

  13. The tangent at any point P onthe parabola y^2=4a x intersects the y-ax...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If y+3=m1(x+2) and y+3=m2(x+2) are two tangents to the parabola y2=8...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |