Home
Class 12
MATHS
let P be the point (1, 0) and Q be a poi...

let `P` be the point `(1, 0)` and `Q` be a point on the locus `y^2= 8x`. The locus of the midpoint of `PQ` is

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C ( Objective Type Questions ( More than one answer))|1 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise SECTION-C|45 Videos
  • CONIC SECTIONS

    AAKASH INSTITUTE|Exercise Assignment (SECTION - A)|55 Videos
  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    AAKASH INSTITUTE|Exercise section-J (Aakash Challengers Qestions)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

If O be origin and A is a point on the locus y^(2)=8x .find the locus of the middle point of OA

If P is the point (1,0) and Q lies on the parabola y^(2)=36x , then the locus of the mid point of PQ is :

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

Let P be a variable point on the parabola y = 4x ^(2) +1. Then, the locus of the mid- point of the point P and the foot of the perpendicular drawn from the point P to the line y =x is:

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

If P is 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

If P is a point on the hyperbola (x^(2))/(16)-(y^(2))/(9)=1 and Q be the focus of the parabola y^(2)=8x then locus of mid-point of PQ is

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. Find the length of normal chord which subtends an angle of 90^0 at the...

    Text Solution

    |

  2. Find the locus of the point of intersection of the normals at the end ...

    Text Solution

    |

  3. let P be the point (1, 0) and Q be a point on the locus y^2= 8x. The l...

    Text Solution

    |

  4. Three normals are drawn from the point (c, 0) to the curve y^2 = x. Sh...

    Text Solution

    |

  5. vertex and focus of a parabola are (-1,1) and (2,3) respectively. find...

    Text Solution

    |

  6. If the parabola y^2=4a x\ passes through the point (3,2) then find th...

    Text Solution

    |

  7. The curve is given by x = cos 2t, y = sin t represents

    Text Solution

    |

  8. The vertex of the parabola y^(2) =(a-b)(x -a) is

    Text Solution

    |

  9. Two common tangents to the circle x^(2) + y^(2) = (a^(2))/(2) and the...

    Text Solution

    |

  10. The length of a focal chord of the parabola y^(2) = 4ax at a distance...

    Text Solution

    |

  11. The point (a ,2a) is an interior point of the region bounded by the pa...

    Text Solution

    |

  12. If y+b=m1(x+a)and y+b=m2(x+a) are two tangents to the paraabola y^2=4a...

    Text Solution

    |

  13. The co-ordinates of the points on the barabola y^(2) =8x, which is at ...

    Text Solution

    |

  14. If a circle intersects the parabola y^(2) = 4ax at points A(at(1)^(2),...

    Text Solution

    |

  15. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

    Text Solution

    |

  16. Find the number of distinct normals that can be drawn from (-2,1) to t...

    Text Solution

    |

  17. If the chord of contact of tangents from a point P to the parabola y^2...

    Text Solution

    |

  18. The normal at any point P(t^(2), 2t) on the parabola y^(2) = 4x meets ...

    Text Solution

    |

  19. A ray of light moving parallel to x-axis gets reflected from a parabol...

    Text Solution

    |

  20. The vertex of the parabola y^2 = 8x is at the centre of a circle and t...

    Text Solution

    |