Home
Class 12
MATHS
Let p be the point (1,0) and Q a point o...

Let p be the point (1,0) and Q a point on the locurs `y^(2)=8x` the locus of mid point of PQ is

A

`x^(2)+4 y+2=0`

B

`x^(2)-4 y+2=0`

C

`y^(2)-4 x+2=0`

D

`y^(2)+4 x+2=0`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • Pair Of Lines

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|129 Videos

  • PERMUTATION AND COMBINATIONS

    HIMALAYA PUBLICATION|Exercise Question Bank|104 Videos

Similar Questions

Explore conceptually related problems

Let O be the origin and A be a point on the curve y^(2)=4 x . Then the locus of the midpoint of O A is

Let O be the vertex and Q be any point on the parabola x^(2)=8y if the point p divides the line segement OQ internally in the ratio 1:3 then the locus of P is

Let 'C' be the circle with centre (0,0 ) and radius 3 units. The equation of the locus of the mid points of chords of the circle 'C' that subtend an angle of 2pi//3 at its centre is:

If y_(1) and y_(2) are the ordinates of two points P and Q on the parabola y^(2)=4 a x and y_(3) is the ordinate of the point of intersection of the tangents at P and Q then, y_(1), y_(3) and y_(2) are in

If a point (alpha, beta) lies on the circle x^(2)+y^(2)=1 , then the locus of the point, (3 alpha+2, beta) is

PM is perpendicular from a point on a rectangular hyperbola to its asymptotes , them the locus of the mid - point of PM is :

Locus of the point of intersection of normals to the parabola y^(2)=4 a x at the end points of its focal chord is

A line intersects y-axis and x-axis at the points P and Q respectively. If (2, 5) is the mid point of PQ then find the co ordinates of P and Q.

The locus of the mid points of the line joining the focus and any point on the parabola y^(2)=4ax is a parabola with equation of directrix as

HIMALAYA PUBLICATION-PARABOLA-QUESTION BANK
  1. A point an the parabola y^(2)=18x at which the ordinate increases at t...

    Text Solution

    |

  2. If a ne 0 and the line 2bx+3cy+4d=0 passes through the points of inter...

    Text Solution

    |

  3. Let p be the point (1,0) and Q a point on the locurs y^(2)=8x the locu...

    Text Solution

    |

  4. The locus of the vertices of the family of parabolas y=(a^(3)x^(2))/(3...

    Text Solution

    |

  5. The slopes of the normal to the parabola y^(2)=4ax intersecting at ...

    Text Solution

    |

  6. If the line x -1=0 is the directrix of the parabola y^(2)-kx+8=0 then...

    Text Solution

    |

  7. Equation of the common tangent touching the circle (x-3)^(2)+y^(2)=9 ...

    Text Solution

    |

  8. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  9. The locus of the mid point of the line segment joining the focus to a...

    Text Solution

    |

  10. The focal chord of y^(2)=16x is tangent to (x-6)^(2)+y^(2)=2 then the...

    Text Solution

    |

  11. Angle between tangents drawn from the point (1,4) to the parabola y^...

    Text Solution

    |

  12. If x+y=k is normal to y^(2)=12x, then k is :

    Text Solution

    |

  13. The equation of the directix of the parabola y^(2)+4y+4x+2=0 is

    Text Solution

    |

  14. The equation of the common tangent to the curves y^2=8x and xy =-1 is ...

    Text Solution

    |

  15. Focus of the parabola y^(2)=16 x is at

    Text Solution

    |

  16. A tangent is drawn to the parabola y=x^(2)+6 at the point (1,7) whi...

    Text Solution

    |

  17. The equation of the common tangents other than the x -axis to the para...

    Text Solution

    |

  18. If x+y+1=0 touches the parabola y^(2)=lambda x then lambda=

    Text Solution

    |

  19. The equation of the chord of parabola y^(2)=8 x which is bisected at t...

    Text Solution

    |

  20. The focus of the parabola y^(2)-x-2 y+2=0 is

    Text Solution

    |