Home
Class 12
MATHS
AB is a chord of a parabola y^(2)=4ax w...

AB is a chord of a parabola `y^(2)=4ax` with the end A at the vertex of the given parabola BC is drawn perpendicular to AB meeting the axis of the parabola at C then the projection of BC on this axis is

A

a

B

2a

C

4a

D

6a

Text Solution

Verified by Experts

The correct Answer is:
C
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 vertex of the parabola y^(2)=x+4y+3 is

The vertex of the parabola y^(2)=4 a(x+a) is

The vertex of the parabola y^(2)=5 x+4 y+1 is

The vertex of the parabola x^(2)+2 y=8 x-7 is

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

A double ordinate of the parabola y^(2)=8ax of length 16a the angle subtended by it at the vertex of the parabola is

The vertex of the parabola x^(2)+12 x-9 y=0 is

The vertex of the parabola x^(2)+8 x+12 y+4=0 is

The axis of the parabola 2 x^(2)+5 y-3 x+4=0 is

Length of focal of the parabola y^(2)=4ax making an angle alpha with the axis of the parabola 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

    |