Home
Class 12
MATHS
If two distinct chords of a parabola y^(...

If two distinct chords of a parabola `y^(2)=4ax`, passing through (a, 2a) are bisected on the line x + y = 1, then length of the latus-rectum can be

A

2

B

1

C

4

D

5

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    FIITJEE|Exercise COMPREHENSIONS|9 Videos

  • PARABOLA

    FIITJEE|Exercise MATCH THE COLUMN|6 Videos

  • PARABOLA

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - I)|50 Videos

  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

  • PERMUTATIONS & COMBINATIONS

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If two distinct chords of the parabola y ^(2) = 4ax, passing through (a, 2a) are bisected on the line x + y=1, then length of the latus-rectum can be

If two distinct chords of a parabola y^2=4ax , passing through (a,2a) are bisected by the line x+y=1 ,then length of latus rectum can be

[" If two distinct chord of a parabola " y^(2)=4ax " passing through the point " (a,2a) " are bisected by the line " x+y=1 " then the length of the latus rectum cannot be

If the line y=x-1 bisects two chords of the parabola y^(2)=4bx which are passing through the point (b, -2b) , then the length of the latus rectum can be equal to

If 2 distinct chords of y^(2)=4ax through (a,2a) are bisected by x+y=1 then a in (0,1) (1,2) (2,3) (3,4)

If a parabole y^(2) = 4ax passes through (2,-6), then its latus-rectum is

If the parabola y^(2)=4ax passes through the centre of the circle x^(2)+y^(2)+4x-12y-4=0, what is the length of the latus rectum of the parabola

Find the condition on a and b for which two distinct chords of the hyperbola (x^(2))/(2a^(2))-(y^(2))/(2b^(2))=1 passing through (a,b) are bisected by the line x+y=b .

If the set of 'K' for which two distinct chords of the ellipse (x^(2))/8+(y^(2))/2=1 passing through (2,-1) are bisected by the line x+y=K is [a,b] then (a+b) is…………

FIITJEE-PARABOLA-ASSIGNMENT PROBLEMS (OBJECTIVE LEVEL - II)
  1. A quadrilateral is inscribed in a parabola . Then,

    Text Solution

    |

  2. The set of points on the axis of the parabola 2((x-1)^(2)+(y-1)^(2))=(...

    Text Solution

    |

  3. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  4. The coordinates of an end-point of the rectum of the parabola (y-1)^(2...

    Text Solution

    |

  5. A circle touches the parabola y^(2)=2x" at "P(1/2,1) and cuts the para...

    Text Solution

    |

  6. The equation of a tangent to the parabola y^(2)=8x which makes an angl...

    Text Solution

    |

  7. The normal y=mx-2am-am^(3) to the parabola y^(2)=4ax subtends a right ...

    Text Solution

    |

  8. If two distinct chords of a parabola y^(2)=4ax, passing through (a, 2a...

    Text Solution

    |

  9. The curves x^(2)+y^(2)+6x-24y+72=0andx^(2)-y^(2)+6x+16y-46=0 intersect...

    Text Solution

    |

  10. If tangents PA and PB are drawn from P(-1, 2) to y^(2) = 4x then

    Text Solution

    |

  11. A circle of radius r, rne0 touches the parabola y^(2)+12x=0 at the ver...

    Text Solution

    |

  12. Slope of tangent to x^(2)=4y from (-1, -1) can be

    Text Solution

    |

  13. IF P1P2 and Q1Q2 two focal chords of a parabola y^2=4ax at right ang...

    Text Solution

    |

  14. Let there be two parabolas with the same axis, focus of each being ext...

    Text Solution

    |

  15. The equations of the common tangents to the parabola y = x^2 and y=-...

    Text Solution

    |

  16. Let y^(2)=4ax be a parabola and x^(2)-y^(2)=a^(2) be a hyperbola. Then...

    Text Solution

    |

  17. The circle x^(2)+y^(2)+2lamdax=0,lamdainR touches the parabola y^(2)=4...

    Text Solution

    |

  18. The line x+ y +2=0 is a tangent to a parabola at point A, intersect t...

    Text Solution

    |

  19. A tangent is drawn at any point (l, m), l, mne0 on the parabola y^(2)=...

    Text Solution

    |

  20. The set of real value of 'a' for which at least one tangent to the par...

    Text Solution

    |