Home
Class 11
MATHS
The normals at three points P,Q,R of the...

The normals at three points P,Q,R of the parabola `y^2=4ax` meet in (h.k) . The centroid of `DeltaPQR` lies on

A

x = 0

B

y = 0

C

x = -a

D

y = a

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos
  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|7 Videos
  • PAIR OF STRAIGHT LINES

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|18 Videos
  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|60 Videos

Similar Questions

Explore conceptually related problems

The normals at three points P,Q,R of the parabola y^2=4ax meet in (h,k) The centroid of triangle PQR lies on (A) x=0 (B) y=0 (C) x=-a (D) y=a

If the normals at three point A, B, C of a parabola meet in a point, then the centroid of DeltaABC lies on (A) a line parallel to y-axis (B) a line perpemndicular to y-axis different from the axis of the parabola (C) axis of the parabola (D) the line y=x

Three normals drawn from a point (h k) to parabola y^2 = 4ax

Normals at points P, Q and R of the parabola y^(2)=4ax meet in a point. Find the equation of line on which centroid of the triangle PQR lies.

The normal at a point P to the parabola y^2=4ax meets axis at G. Q is another point on the parabola such that QG is perpendicular to the axis of the parabola. Prove that QG^2−PG^2= constant

The normals at the extremities of a chord PQ of the parabola y^2 = 4ax meet on the parabola, then locus of the middle point of PQ is

The normals at P, Q, R on the parabola y^2 = 4ax meet in a point on the line y = c. Prove that the sides of the triangle PQR touch the parabola x^2 = 2cy.

If the normals at P, Q, R of the parabola y^2=4ax meet in O and S be its focus, then prove that .SP . SQ . SR = a . (SO)^2 .

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

A normal drawn at a point P on the parabola y^2 = 4ax meets the curve again at Q. The least distance of Q from the axis of the parabola, is

OBJECTIVE RD SHARMA ENGLISH-PARABOLA-Exercise
  1. If y=2x+3 is a tangent to the parabola y^2=24 x , then find its distan...

    Text Solution

    |

  2. If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  3. The normals at three points P,Q,R of the parabola y^2=4ax meet in (h.k...

    Text Solution

    |

  4. If the point P(4,-2) is one ends of the focal PQ of y^(2)=x, then the ...

    Text Solution

    |

  5. If P S Q is a focal chord of the parabola y^2=8x such that S P=6 , the...

    Text Solution

    |

  6. The angle between the normals to the parabola y^(2)=24x at points (6, ...

    Text Solution

    |

  7. Find the equation of the common tangent of y^2=4a x and x^2=4a y.

    Text Solution

    |

  8. The equation of the common tangent touching the circle (x-3)^2+y^2=9 a...

    Text Solution

    |

  9. The length of the subtangent to the parabola y^(2)=16x at the point wh...

    Text Solution

    |

  10. if P is a point on parabola y^2=4ax such that subtangents and subnorm...

    Text Solution

    |

  11. The normal to the parabola y^(2)=8ax at the point (2, 4) meets the par...

    Text Solution

    |

  12. The graph represented by x=sin^2t, y=2cost is

    Text Solution

    |

  13. The subtangent, ordinate and subnormal to the parabola y^2 = 4ax are i...

    Text Solution

    |

  14. f the normal at the point P (at1, 2at1) meets the parabola y^2=4ax agu...

    Text Solution

    |

  15. The equation of the parabola whose vertex is at(2, -1) and focus at(2,...

    Text Solution

    |

  16. The ends of a line segment are P(1, 3) and Q(1,1), R is a point on th...

    Text Solution

    |

  17. The vertex of the parabola y^2+6x-2y+13=0 is

    Text Solution

    |

  18. The Cartesian equation of the directrix of the parabola whose parametr...

    Text Solution

    |

  19. If the vertex of a parabola is (0, 2) and the extremities of latusrect...

    Text Solution

    |

  20. A line L passing through the focus of the parabola (y-2)^(2)=4(x+1) in...

    Text Solution

    |