Home
Class 12
MATHS
If P is a point on the parabola y^(2)=8x...

If P is a point on the parabola `y^(2)=8x` and A is the point (1,0) then the locus of the mid point of the line segment AP is

A

`y^(2)=4 (x-(1)/(2))`

B

`y^(2)=2(2x+1)`

C

`y^(2)=x-(1)/(2)`

D

`y^(2)=2x+1`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    AAKASH SERIES|Exercise PRACTICE EXERCISE|33 Videos

  • PARABOLA

    AAKASH SERIES|Exercise SOLVED EXAMPLES|77 Videos

  • PARABOLA

    AAKASH SERIES|Exercise EXERCISE- I|57 Videos

  • MEASURES OF DISPERSION (STATISTICS)

    AAKASH SERIES|Exercise Practice Exercise|54 Videos

  • PARTIAL FRACTIONS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|31 Videos

Similar Questions

Explore conceptually related problems

If P is a point on the parabola y^(2)=8x and A is the point (1,0) then the locus of the midpoint of the line segment AP is

If Q is the point on the parabola y ^(2) =4x that is nearest to the point P (2,0) then PQ =

If P is (3, 1) and Q is a point on the curve y^2 = 8x , then the locus of the mid-point of the line segment PQ is

The line x+y= 6 is a normal to the parabola y^(2)=8x at the point

A line segment of length 2l sliding with ends on the axes, then the locus of the middle point of the line segment is

If the line segment joining the vertex of the parabola y^(2)=4ax and a point on the parabola, makes an angle theta with the positive X -axis, then the length of that line segment is

The equation of the normal to the parabola y^(2)=8x at the point t is

A line segment of length 10 sliding with ends on the axes, then the locus of middle point of the line segment is

AAKASH SERIES-PARABOLA-EXERCISE- II
  1. If the normal at P on y^(2)= 4ax cuts the axis of the parabola in G a...

    Text Solution

    |

  2. If t(1),t(2),t(3) are the feet of normals drawn from (x(1),y(1)) to th...

    Text Solution

    |

  3. The feet of the normals to y^(2)= 4ax from the point (6a,0) are

    Text Solution

    |

  4. Number of normals drawn through the point (8, 4) to the parabola y^(2)...

    Text Solution

    |

  5. Number of distinct normals that can be drawn from ((11)/(4),(1)/(4)) t...

    Text Solution

    |

  6. The number of normals drawn to the parabola y^(2)=4x from the point (1...

    Text Solution

    |

  7. The condition that the line lx +my+n =0 to be a normal to y^(2)=4ax is

    Text Solution

    |

  8. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax is

    Text Solution

    |

  9. The line y=sqrt(2)x+4sqrt(2) is normal to y^(2)=4ax then k=

    Text Solution

    |

  10. If the normals at (x(1),y(1)) and (x(2) ,y(2)) on y^(2) = 4ax meet ag...

    Text Solution

    |

  11. If the normal at (1,2) on the parabola y^(2)=4x meets the parabola aga...

    Text Solution

    |

  12. If the normal to the parabola y^(2)=4x at P(1,2) meets the parabola a...

    Text Solution

    |

  13. If a normal subtends a right angle at the vertex of a parabola y^(2)=4...

    Text Solution

    |

  14. If the normal subtends a right angle at the focus of the parabola y^(2...

    Text Solution

    |

  15. The normal at P(8, 8) to the parabola y^(2) = 8x cuts it again at Q th...

    Text Solution

    |

  16. If a normal chord of the parabola y^(2)=4x makes an angle of 45^(@) w...

    Text Solution

    |

  17. Let M be the foot of the perpendicular from a point P on the parabola ...

    Text Solution

    |

  18. If P is a point on the parabola y^(2)=8x and A is the point (1,0) then...

    Text Solution

    |

  19. If a normal chord of a puint on the parabola y^(2) = 4ax, subtends a r...

    Text Solution

    |

  20. The slopes of the focal chords of the parabola y^(2)=32 x which are ta...

    Text Solution

    |