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

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 .

A

` y^(2)=2x`

B

`y^(2) = 4 x `

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2013)|17 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|11 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

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

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=4(x+1), then prove that 2(a+1)=b^2

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

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=4x , then (a) a=2b (b) a^2=2b (c) a^2=2b (d) 2a=b^2

The locus of middle points of a family of focal chord of the parabola y^(2) =4 ax is-

The locus of the midpoints of all chords of the parabola y^(2) = 4ax through its vertex is another parabola with directrix is

Find the locus of the midpoint of normal chord of parabola y^2=4a xdot

If PQ and Rs are normal chords of the parabola y^(2) = 8x and the points P,Q,R,S are concyclic, then

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2012)
  1. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

    Text Solution

    |

  2. If the circles x^(2) + y^(2) + 2x + 2ky + 6 = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  3. The line joining A (b cos alpha b sin alpha ) and B (a cos beta , ...

    Text Solution

    |

  4. If four distinct points (2k , 3k ) , (2 , 0) ,(0 , 3) and (0 , 0) lie ...

    Text Solution

    |

  5. Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right ...

    Text Solution

    |

  6. Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If t...

    Text Solution

    |

  7. Let P be the midpoint of a chord joining the vertex of the parabola...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  10. The transverse axis of a hyperbola is along the x - axis and its leng...

    Text Solution

    |

  11. A point moves in such a way that the difference of its distances from...

    Text Solution

    |

  12. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

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

    Text Solution

    |

  14. Let p , q , r be the altiudes of triangles with area s and perimeter ...

    Text Solution

    |

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

    Text Solution

    |

  16. A straight line through the point of intersection of the lines x + 2y ...

    Text Solution

    |

  17. Let P and Q be the points on the prabola y^(2) = 4x so that the lin...

    Text Solution

    |

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

    Text Solution

    |