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 locus `y^2 = 8x`. The locus of mid-point of PQ is :

A

`x^(2)-2xy-8=0`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
d
Promotional Banner

Topper's Solved these Questions

  • CONIC SECTIONS

    BITSAT GUIDE|Exercise BITSAT ARCHIVES |27 Videos

  • COMPLEX NUMBERS

    BITSAT GUIDE|Exercise BITSET Archives |13 Videos

  • DEFINITE INTEGRALS AND ITS APPLICATIONS

    BITSAT GUIDE|Exercise BITSAT Archives |25 Videos

Similar Questions

Explore conceptually related problems

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

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

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 :

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

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:

If O is the origin and Q is a variable point on y^(2)=x* Find the locus of the mid point of OQ

If a tangent to the circle x^(2)+y^(2)=1 intersects the coordinate axes at distinct points P and Q, then the locus of the mid-point of PQ is :

BITSAT GUIDE-CONIC SECTIONS-BITSAT ARCHIVES
  1. Let P be the point (1,0) and Q a point on the locus y^2 = 8x. The locu...

    Text Solution

    |

  2. The locus of the points of intersectino of the tangents at the extremi...

    Text Solution

    |

  3. A variable chord PQ of the parabola y^2 = 4ax subtends a right angle ...

    Text Solution

    |

  4. The foci of the conic 25x^(2) +16y^(2)-150 x=175 are :

    Text Solution

    |

  5. The radius of the circle passing through the foci of the ellipse (x^(2...

    Text Solution

    |

  6. If OAB is an equilateral triangle inscribed in the parabola y^(2) = 4a...

    Text Solution

    |

  7. If the length of the major axis of the ellipse ((x^(2))/(a^(2)))+((y^(...

    Text Solution

    |

  8. Let S and T be the foci of the ellipse (x^(2))/(a^(2))+(y^(2))/(bh^(2)...

    Text Solution

    |

  9. The difference of the focal distances of any point on the hyperbola is...

    Text Solution

    |

  10. If the focus of a parabola is at (0, -3) and its directrix is y = 3, t...

    Text Solution

    |

  11. The length of tangent from (5,1) to the circle x^(2)+y^(2)+6x-4y-3=0 ...

    Text Solution

    |

  12. The length of the latus rectum of the parabola 169{(x-1)^2+(y-3)^2}=(5...

    Text Solution

    |

  13. If the centre, one of the foci and semi-major axis of an ellipse are (...

    Text Solution

    |

  14. The radius of the director circle of the hyperbola (x^(2))/(a^(2))-(y^...

    Text Solution

    |

  15. The equation of the chord of y^(2) = 8x which is bisected at (2, - 3),...

    Text Solution

    |

  16. Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a ri...

    Text Solution

    |

  17. The line y=bt meets the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 in real poin...

    Text Solution

    |

  18. The distance between the foci of the hyperbola x^(2)-3y^(2)-4x-6y-11=0...

    Text Solution

    |

  19. The length of the common chord of the ellipse ((x-1)^2)/(9) + ((y-2)^2...

    Text Solution

    |

  20. For hyperbola x^2/(cos^2alpha)-y^2/(sin^2alpha)=1which of the followin...

    Text Solution

    |

  21. The equation of the parabola with its vertex at (1, 1) and focus (3, 1...

    Text Solution

    |