Home
Class 11
MATHS
P, Q, and R are the feet of the norma...

P, Q, and R are the feet of the normals drawn to a parabola ( `y−3 ) ^2 =8( x−2 )` . A circle cuts the above parabola at points P, Q, R, and S . Then this circle always passes through the point.     (a)   (  2, 3   )           (b)      (        3, 2   )            (c)      (        0, 3   )       (d)      (        2, 0   )

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

The algebraic sum of the ordinates of the feet of 3 normals drawn to the parabola y^2=4ax from a given point is 0.

Let P , Q and R are three co-normal points on the parabola y^2=4ax . Then the correct statement(s) is /at

If the normal at P(18, 12) to the parabola y^(2)=8x cuts it again at Q, then the equation of the normal at point Q on the parabola y^(2)=8x is

If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP.AQ is equal to

If the normal P(8,8) to the parabola y^(2) = 8x cuts It again at Q then find the length PQ

The common tangents to the circle x^2 + y^2 =2 and the parabola y^2 = 8x touch the circle at P,Q andthe parabola at R,S . Then area of quadrilateral PQRS is

If the normals at two points P and Q of a parabola y^2 = 4ax intersect at a third point R on the curve, then the product of ordinates of P and Q is

The normal at P(8, 8) to the parabola y^(2) = 8x cuts it again at Q then PQ =

A circle is drawn having centre at C (0,2) and passing through focus (S) of the parabola y^2=8x , if radius (CS) intersects the parabola at point P, then

If the tangent at the point P(2,4) to the parabola y^2=8x meets the parabola y^2=8x+5 at Q and R , then find the midpoint of chord Q Rdot

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Tangent P Aa n dP B are drawn from the point P on the directrix of the...

    Text Solution

    |

  2. A square has one vertex at the vertex of the parabola y^2=4a x and the...

    Text Solution

    |

  3. P, Q, and R are the feet of the normals drawn to a parabola ( ...

    Text Solution

    |

  4. The equation of the line that passes through (10 ,-1) and is perpendic...

    Text Solution

    |

  5. The axis of a parabola is along the line y=x and the distance of its v...

    Text Solution

    |

  6. If the normal chord of the parabola y^(2)=4x makes an angle 45^(@) wit...

    Text Solution

    |

  7. If the normals at points t1 and t2 meet on the parabola, then (a) t1...

    Text Solution

    |

  8. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  9. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  10. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

    Text Solution

    |

  11. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

    Text Solution

    |

  12. If two normals to a parabola y^2 = 4ax intersect at right angles then ...

    Text Solution

    |

  13. If the normals to the parabola y^2=4a x at P meets the curve again at ...

    Text Solution

    |

  14. If a leaf of a book is folded so that one corner moves along an opp...

    Text Solution

    |

  15. A parabola of latus rectum l touches a fixed equal parabola. The axes ...

    Text Solution

    |

  16. A movable parabola touches x-axis and y-axis at (0,1) and (1,0). Then ...

    Text Solution

    |

  17. Let N be the foot of perpendicular to the x-axis from point P on the p...

    Text Solution

    |

  18. Two lines are drawn at right angles, one being a tangent to y^2=4a x a...

    Text Solution

    |

  19. The area of the trapezium whose vertices lie on the parabola y^2 = 4x ...

    Text Solution

    |

  20. Find the range of parameter a for which a unique circle will pass thro...

    Text Solution

    |