Home
Class 11
MATHS
Find the points of contact Q and R of ta...

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

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

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

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 the locus of Pdot is a) a cicle b) a parabola c) a straight line d) none of these

The angle between the tangents drawn from the point (1, 4) to the parabola y^(2)=4x is -

What is the length of the focal distance from the point P(x_(1),y_(1)) on the parabola y^(2) =4ax ?

Find the area of the triangle formed by the tangents from the point (4, 3) to the circle x^2+y^2=9 and the line joining their points of contact.

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

Find the lengths of the tangent drawn from the point. (2,-2) to the circle 3(x^(2)+y^(2))-4x-7y=3

Find the equations of the tangents drawn from the point A(3, 2) to the circle x^2 + y^2 + 4x + 6y + 8 = 0

The area of triangle formed by the tangents from the point (3, 2) to the hyperbola x^2-9y^2=9 and the chord of contact w.r.t. the point (3, 2) is_____________

Tangents are drawn to the hyperbola 4x^2-y^2=36 at the points P and Q. If these tangents intersect at the point T(0,3) then the area (in sq units) of triangle PTQ is

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the point on the curve y^2=a x the tangent at which makes an angl...

    Text Solution

    |

  2. Find the equation of the common tangents to y^2 = 8ax and x^2 + y^2 = ...

    Text Solution

    |

  3. Find the points of contact Q and R of tangents from the point P (2,3) ...

    Text Solution

    |

  4. Two straight lines (y-b) =m(1)(x+a)and(y-b)=m(2)(x+a) are the tangents...

    Text Solution

    |

  5. A pair of tangents are drawn to the parabola y^2=4a x which are equall...

    Text Solution

    |

  6. Tangents are drawn from the point (-1,2) on the parabola y^(2)=4x. Fin...

    Text Solution

    |

  7. Tangents are drawn to the parabola (x-3)^2+(y+4)^2=((3x-4y-6)^2)/(25) ...

    Text Solution

    |

  8. Find the locus of point of intersection of tangents to the parabola y^...

    Text Solution

    |

  9. Mutually perpendicular tangents T A and T B are drawn to y^2=4a x . T...

    Text Solution

    |

  10. Tangents PA and PB are drawn from point P on the directrix to the para...

    Text Solution

    |

  11. A square has one vertex at the vertex of the parabola y^2=4a x and the...

    Text Solution

    |

  12. P ,Q , and R are the feet of the normals drawn to a parabola (y-3)^2=8...

    Text Solution

    |

  13. The equation of the line that passes through (10 ,-1) and is perpendic...

    Text Solution

    |

  14. The axis of parabola is along the line y=x and the distance of its ver...

    Text Solution

    |

  15. The locus of the circumcenter of a variable triangle having sides the ...

    Text Solution

    |

  16. If the normals at P(t(1))andQ(t(2)) on the parabola meet on the same p...

    Text Solution

    |

  17. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  18. If the normals to the parabola y^2=4a x at the ends of the latus rectu...

    Text Solution

    |

  19. Tangent and normal drawn to a parabola at A(a t^2,2a t),t!=0 meet the ...

    Text Solution

    |

  20. PQ is a normal chord of the parabola y^2 =4ax at P, A being t...

    Text Solution

    |