Home
Class 12
MATHS
If the chord of contact of tangents from...

If the chord of contact of tangents from a point `P` to the parabola `y^2=4a x` touches the parabola `x^2=4b y ,` then find the locus of `Pdot`

A

A circle

B

A parabola

C

A pair of straight lines

D

A hyperbola

Text Solution

Verified by Experts

The correct Answer is:
D
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 the chord of contact of tangents from a point P to the parabola y^(2)=4ax touches the parabola x^(2)=4by, then find the locus of P.

The line through P , perpendicular to the chord of the tangents drawn from the point P to the parabola y^(2)=16x touches the parabola x^(2)=12y , then the locus of P is 2ax+3y+4a^(2)=0 then a is ________

Length of the chord of contact drawn from the point (-3,2) to the parabola y^(2)=4x is

If the chord of contact of tangents from a point P(h, k) to the circle x^(2)+y^(2)=a^(2) touches the circle x^(2)+(y-a)^(2)=a^(2) , then locus of P is

Find the points of contact Q and R of a tangent from the point P(2,3) on the parabola y^(2)=4x

Tangents are drawn from points of the parabola y^(2)=4ax to the parabola y^(2)=4b(x-c) . Find the locus of the mid point of chord of contact.

Find the locus of mid-point of chord of parabola y^(2)=4ax which touches the parabola x^(2)=4by

A point P moves such that the chord of contact of the pair of tangents from P on the parabola y^(2)=4ax touches the rectangular hyperbola x^(2)-y^(2)=c^(2). Show that the locus of P is the ellipse (x^(2))/(c^(2))+(y^(2))/((2a)^(2))=1

If the tangent at the point P(2,4) to the parabola y^(2)=8x meets the parabola y^(2)=8x+5 at Q and R, then find the midpoint of chord QR.

AAKASH INSTITUTE-CONIC SECTIONS-SECTION-B
  1. If the line y-sqrt3x+3=0 cuts the parabola y^2=x+2 at P and Q then AP....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  7. The mirror image of the focus to the parabola 4(x + y) = y^(2) w.r.t....

    Text Solution

    |

  8. A tangent to the parabola y^2=8x makes an angle of 45^0 with the strai...

    Text Solution

    |

  9. Find the point on the curve y^2=4x which is nearest to the point (2, 1...

    Text Solution

    |

  10. The parametric coordinates of a point on the ellipse, whose foci are (...

    Text Solution

    |

  11. The number of values of c such that the straight line y=4x+c touches t...

    Text Solution

    |

  12. The locus of mid points of parts in between axes and tangents of ellip...

    Text Solution

    |

  13. The equation of the chord of the ellipse x^(2) + 4y^(2) = 4 having th...

    Text Solution

    |

  14. The radius of the circle passing through the foci of (x^(2))/(16) + (y...

    Text Solution

    |

  15. If two points are taken on the minor axis of an ellipse (x^2)/(a^2)...

    Text Solution

    |

  16. Find the locus of the foot of the perpendicular drawn from the cent...

    Text Solution

    |

  17. find the common tangents of the circle x^2+y^2=2a^2 and the parabola...

    Text Solution

    |

  18. The line lx + my + n = 0 is a normal to (x^(2))/(a^(2)) + (y^(2))/(b^...

    Text Solution

    |

  19. The tangent at a point P(acosvarphi,bsinvarphi) of the ellipse (x^2)/(...

    Text Solution

    |

  20. From a point P, two tangents are drawn to the parabola y^(2) = 4ax. I...

    Text Solution

    |