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

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

    AAKASH INSTITUTE ENGLISH|Exercise SECTION-C|44 Videos
  • CONIC SECTIONS

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

    AAKASH INSTITUTE ENGLISH|Exercise section-J (Aakash Challengers Qestions)|13 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    AAKASH INSTITUTE ENGLISH|Exercise section - J|6 Videos

Similar Questions

Explore conceptually related problems

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

If P is the point (1,0) and Q is any point on the parabola y^(2) = 8x then the locus of 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

The locus of a point for which x=0 is

If O is the origin and Q is a variable, point on x^(2)=4y , find the locus of the mid-point of OQ.

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

The locus of a point for which x = 0 is

if P(theta) and Q(pi/2 +theta) are two points on the ellipse x^2/a^2+y^@/b^2=1 , locus ofmid point of PQ is

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 :

P lies on the line y=x and Q lies on y= 2x . The equation for the locus of the mid point of PQ, if |PQ| = 4 , is 25x^2 - lambda xy + 13y^2 = 4 , then lambda equals

AAKASH INSTITUTE ENGLISH-CONIC SECTIONS-SECTION-B
  1. Find the length of normal chord which subtends an angle of 90^(@) at t...

    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. about to only mathematics

    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. If the length of a focal chord of the parabola y^2=4a x 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 coordinates of a point on the parabola y^2=8x whose distance from ...

    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 - sqrt(3x)+3= 0 cuts line parabola y^(2) = x+2 at A and...

    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

    |