Home
Class 11
MATHS
If the pointP(at^2,2at) is a end point o...

If the point`P(at^2,2at)` is a end point of a chord of the parabola`y^2=4ax`which is passes through the focus, then the length of the chord is

Promotional Banner

Topper's Solved these Questions

  • MODEL QUESTION PAPERS-SET 12

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos
  • MODEL QUESTION PAPERS-SET 14

    UNITED BOOK HOUSE|Exercise EXERCISE|49 Videos

Similar Questions

Explore conceptually related problems

The parabola y^2=4ax passes through the point (2,-6). Find the length of the latus rectum.

If (at^(2) , 2at) be the coordinate of an extremity of a focal chord of the parabola y^(2) =4ax, then the length of the chord is-

Length of the shortest normal chord of the parabola y^2=4ax is

If (at^(2) , 2at ) be the coordinates of an extremity of a focal chord of the parabola y^(2) = 4ax , then show that the length of the chord is a(t+(1)/(t))^(2) .

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

Find the locus of the midpoint of chords of the parabola y^2=4a x that pass through the point (3a ,a)dot

Length of the focal chord of the parabola y^2=4ax at a distance p from the vertex is:

The locus of the middle points of the focal chords of the parabola, y^2=4x is:

If (2,-8) is at an end of a focal chord of the parabola y^2=32 x , then find the other end of the chord.

If the point P(4, -2) is the one end of the focal chord PQ of the parabola y^(2)=x, then the slope of the tangent at Q, is

UNITED BOOK HOUSE-MODEL QUESTION PAPERS-SET 13-EXERCISE
  1. The coefficient of three consecutive terms in the expansion of (1+x)^n...

    Text Solution

    |

  2. Show that the straight line (a + 2b) x + (a -3b)y + b -a = 0 always p...

    Text Solution

    |

  3. Find the equations of straight line which are perpendicular to the str...

    Text Solution

    |

  4. y = 2x is a chord of the circle x^2 + y^2 -10 x = 0. Find the equation...

    Text Solution

    |

  5. Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line se...

    Text Solution

    |

  6. Evaluate :lim(xrarroo)[(1^(1//x)+2^(1//x)+3^(1//x))/3]

    Text Solution

    |

  7. Differentiate x^(-2/3) with respect to x, with behalf of definition.

    Text Solution

    |

  8. Prove that sqrt3is irrational, (use the method of contradiction)

    Text Solution

    |

  9. If x and y are odd integers, then xy is also an odd integer r examine ...

    Text Solution

    |

  10. The probability of occurrence of at least one event of two events X an...

    Text Solution

    |

  11. If the co-efficient of variation of two frequeny distribution are 58% ...

    Text Solution

    |

  12. Prove that (sec8theta-1)/(sec4theta-1)=(tan8theta)/(tan2theta)

    Text Solution

    |

  13. In /\ABC,Prove that a cos A + b cos B + c cos C = 2a sin B sin C

    Text Solution

    |

  14. If a1,a2,a3,...,aaare in A.P then show that 1/(a1a2)+1/(a2a3)+1/(a3a4)...

    Text Solution

    |

  15. Solve x^2 -(7 -i)x + (18 -i) = 0 and hence prove that the roots are no...

    Text Solution

    |

  16. The Indian cricket eleven is to be selected out of 15 players. 6 of th...

    Text Solution

    |

  17. Draw the graph and' find the common region of the system of following ...

    Text Solution

    |

  18. If the pointP(at^2,2at) is a end point of a chord of the parabolay^2=...

    Text Solution

    |

  19. In a hyperbola, (a) centre is origin (b) transverse axis along-with x ...

    Text Solution

    |

  20. find the equation of the ellipse whose eccentricities is 1/2, focus i...

    Text Solution

    |