Home
Class 12
MATHS
Locus of the middle points of parallel c...

Locus of the middle points of parallel chords of a parabola `x^(2)=4ay` is a

A

st line parallel to x axis

B

st line parallel to y axis

C

st line parallel to the bisector of the angles between the axes

D

circle

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    MODERN PUBLICATION|Exercise LATEST QUESTION FROM AIEEE/JEE EXAMINATIONS|5 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos
  • PARABOLA

    MODERN PUBLICATION|Exercise RECENT COMPETITION QUESTION (QUESTION FROM KARNATAKA CET & COMED)|9 Videos
  • MOCK TEST PAPER -IV

    MODERN PUBLICATION|Exercise SELECT THE CORRECT ANSWER|60 Videos
  • PERMUTATIONS AND COMBINATIONS

    MODERN PUBLICATION|Exercise Recent Competitive Questions|6 Videos

Similar Questions

Explore conceptually related problems

The locus of the middle points of chords of the hyperbola 3x^2-2y^2+4x-6y=0 parallel to y = 2x is :

Locus of the point of intersection of normals to the parabola y^(2)=4 a x at the end points of its focal chord is

The product of the abscissae of the extremities of a focal chord of a parabola y^(2)=16 x is

The locus of the midpoint of a chord of the circle x^(2)+y^(2) = 4 which subtends a right angle at the origin is

If b and c are the length of the segments of any focal chord of a parabola y^(2)=4ax then the length of the semi latus rectum is

The locus of the mid-points of chords of the circle x^2+y^2 =4 , which subtend a right angle at the origin, is:

Axis of the parabola x^(2)-4 x-4 y+10=0 is

MODERN PUBLICATION-PARABOLA -MULTIPLE CHOICE QUESTION (LEVEL II)
  1. Angle substended by the latus rectum at the origin is

    Text Solution

    |

  2. A ray of light moving parallel to x axis gets reflected from a parab...

    Text Solution

    |

  3. Range of values of k for which the point (k-1) is exteriro to both ...

    Text Solution

    |

  4. If PQ is a focal chord of the parbola y^(2)=4ax with focus at s th...

    Text Solution

    |

  5. The point (a,2a) is an interior point of the region bounded by the ...

    Text Solution

    |

  6. Locus of the middle points of parallel chords of a parabola x^(2)=4a...

    Text Solution

    |

  7. The tangent to a parabola at the vertex A and any point P meet at Q ...

    Text Solution

    |

  8. The tangents at three points A,B,C on the parabola y^(2)=4x taken in ...

    Text Solution

    |

  9. AB is a chord of a parabola y^(2)=4ax with the end A at the vertex ...

    Text Solution

    |

  10. The point of intersection of the tangents to the parabla y^(2)=4x at ...

    Text Solution

    |

  11. If the tangents at (x(1),y(1)) and (x(2),y(2)) to the parabola y^(2)=4...

    Text Solution

    |

  12. If b and c are the length of the segments of any focal chord of a para...

    Text Solution

    |

  13. If the focus of a parabola divides a focal chord of the parabola in s...

    Text Solution

    |

  14. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

    Text Solution

    |

  15. The locus of the mid point of the line segment joining the focus to a...

    Text Solution

    |

  16. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

    Text Solution

    |

  17. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

    Text Solution

    |

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

    Text Solution

    |

  19. Three normals are dran to a parabola y^(2)=4ax from a given point (x...

    Text Solution

    |

  20. Consider the two curves C(1):y^(2)=4x,C(2):x^(2)+y^(2)-6x+1=0 then

    Text Solution

    |