Home
Class 11
MATHS
If t is the parameter for one end of a f...

If `t` is the parameter for one end of a focal chord of the parabola `y^2 =4ax,` then its length is :

A

`a( t + (1)/(t))^(2)`

B

`a^(2) (t + (1)/(t))`

C

`a (t - (1)/(t))^(2)`

D

`a (t^(2) +1)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • CIRCLE AND CONICS

    MARVEL PUBLICATION|Exercise MISCELLANEOUS MCQs|50 Videos

  • BERNOULLI TRIALS AND BINOMIAL DISTRIBUTION

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|79 Videos

  • PROBABILITY

    MARVEL PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS|239 Videos

Similar Questions

Explore conceptually related problems

(A) p 2 (B) q 2 (D) q = 2p (C) p = 2q If t is the parameter for one end of a focal chord of the parabola y2 =4ax, then its length is (A) a t- 11. 2 aft. 2 (B) a t 1) C)alt+- (D) al t-

If t is the parameter of one end of a focal chord of the parabola y^(2) = 4ax , show that the length of this focal chord is (t + (1)/(t))^(2) .

If x-2y-a=0 is a chord of the parabola y^(2)=4ax , then its langth, is

If b and k are segments of a focal chord of the parabola y^(2)= 4ax , then k =

The Harmonic mean of the segments of a focal chord of the parabola y^(22)=4ax is

The harmonic mean of the segments of a focal chord of the parabola y^(2)=16ax, is

If 't_1' and 't_2' be the ends of a focal chord of the parabola y^2=4ax then t_1t_2 is equal to

MARVEL PUBLICATION-CIRCLE AND CONICS -MULTIPLE CHOICE QUESTIONS
  1. Focal distance and co-ordinates of the point on the parabola y^(2) = ...

    Text Solution

    |

  2. If line y = x - 8 meets y^(2) = 4x in A and B , then length of interc...

    Text Solution

    |

  3. If t is the parameter for one end of a focal chord of the parabola y^2...

    Text Solution

    |

  4. If P (3a , 2 asqrt(3)) is one end of a focal chord PQ of y^(2) = 4ax...

    Text Solution

    |

  5. If (x1,y1)and (x2,y2) are ends of a focal chord of y^2 =4ax, then valu...

    Text Solution

    |

  6. If theta is the inclination of a focal chord of y^(2) = 4ax to its ...

    Text Solution

    |

  7. If theta is the inclination of a focal chord of y^(2) = 4ax to its ...

    Text Solution

    |

  8. If L and L' are ends of latus-rectum of parabola y^(2) = 4ax whose ...

    Text Solution

    |

  9. If t is a parameter , then locus of a point P (a sin^(2) t, 2a sin...

    Text Solution

    |

  10. Equation of parabola ,having (4,-8) and (4,8) as ends of its latus-rec...

    Text Solution

    |

  11. Tangent to y^(2) = 4ax at its vertex is

    Text Solution

    |

  12. Foot of the directrix of the parabola y^(2) = 4ax is the point

    Text Solution

    |

  13. If A (x(1) , y(1)) " and B" (x(2), y(2)) are point on y^(2) = 4ax , ...

    Text Solution

    |

  14. If A (t(1)) " and " B(t(2)) are points on y^(2) = 4ax , then slope ...

    Text Solution

    |

  15. Points A,B ,C , D on y^(2) = 4ax have parameters t(1) , t(2), t(3), ...

    Text Solution

    |

  16. Points A,B,C,D, on y^(2) = 4ax have parameters t(1) , t(2), t(3) , ...

    Text Solution

    |

  17. If PQ is a focal chord of parabola y^(2) = 4ax whose vertex is A , t...

    Text Solution

    |

  18. If focal distance of a point P on y^(2) = 8x is 4, then P is

    Text Solution

    |

  19. If focal distance of point P on y^(2) = 4x is 6, then P is

    Text Solution

    |

  20. An equilateral triangle is inscribed in y^(2) = 8x so that one angul...

    Text Solution

    |