Home
Class 12
MATHS
Let P be the midpoint of a chord joining...

Let P be the midpoint of a chord joining the vertex of the parabola `y^(2)=8x` to another point on it. Then the locus of P is

A

`y^(2)=2x`

B

`y^(2)=4x`

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2011

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2013

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

Similar Questions

Explore conceptually related problems

Let P be the midpoint of a chord joining the vertex of the parabola y^(2) = 8x to another point on it . Then locus of P .

The vertex of the parabola x^(2)+2y=8x-7 is

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

If (a ,b) is the midpoint of a chord passing through the vertex of the parabola y^2=4(x+1), then prove that 2(a+1)=b^2

Let P be the point (1,0) and Q a point on the parabola y^(2) =8x, then the locus of mid-point of bar(PQ is-

If (a , b) is the midpoint of a chord passing through the vertex of the parabola y^2=4x , then (a) a=2b (b) a^2=2b (c) a^2=2b (d) 2a=b^2

If two tangents drawn from a point P to the parabola y^2 = 4x are at right angles, then the locus of P is

The locus of the midpoints of the portion of the normal to the parabola y^(2)=16x intercepted between the curve and the axis is another parabola whose latus rectum is ___________ .

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

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

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS
  1. Rolle's theorem is applicable in the interval [-2,] for the function

    Text Solution

    |

  2. The solution of 25(d^(2)y)/(dx^(2))-10(dy)/(dx)+y=0, y(0)=1, y(1)=2e^(...

    Text Solution

    |

  3. Let P be the midpoint of a chord joining the vertex of the parabola y^...

    Text Solution

    |

  4. The line x=2y intersects the ellipse (x^(2))/(4)+y^(2)=1 at the points...

    Text Solution

    |

  5. The eccentric angle in the first quadrant of a point on the ellipse (x...

    Text Solution

    |

  6. The transverse axis of hyperbola is along the x-axis and its length is...

    Text Solution

    |

  7. A point moves in such a way that the difference of its distance from t...

    Text Solution

    |

  8. The number of integer values of m, for which the x-coordinates of the ...

    Text Solution

    |

  9. If a straight line passes through the point (alpha, beta) and the port...

    Text Solution

    |

  10. The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...

    Text Solution

    |

  11. Examine the consistency of the system of equations x+ y +z=1 2x+...

    Text Solution

    |

  12. Let A and B be two events with P(A^(C))=-0.3, P(B)=0.4 and )P(A nn B^(...

    Text Solution

    |

  13. Let p,q,r be the altitudes of a triangle with area S and perimeter 2t....

    Text Solution

    |

  14. Let C(1) and C(2) denote the centres of the circles x^(2)+y^(2)=4 and ...

    Text Solution

    |

  15. A straight line through the point of intersection of the lines x+2y+4=...

    Text Solution

    |

  16. Let P and Q be the points on the parabola y^(2)=4x so that the lines ...

    Text Solution

    |

  17. The incentre of an equilateral triangle is (1,1) and the equation of o...

    Text Solution

    |

  18. The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is

    Text Solution

    |

  19. The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is

    Text Solution

    |

  20. Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...

    Text Solution

    |