Home
Class 11
MATHS
If from a point P , tangents PQ and PR a...

If from a point `P ,` tangents `PQ` and `PR` are drawn to the ellipse `(x^2)/2+y^2=1` so that the equation of `Q R` is `x+3y=1,` then find the coordinates of `Pdot`

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

Tangents are drawn to the ellipse x^2+2y^2=2 , then the locus of the mid-point of the intercept made by the tangents between the coordinate axes is

Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2)dot Find their equations.

From the point A(4,3), tangent are drawn to the ellipse (x^2)/(16)+(y^2)/9=1 to touch the ellipse at B and CdotE F is a tangent to the ellipse parallel to line B C and towards point Adot Then find the distance of A from E Fdot

The angle between the pair of tangents drawn to the ellipse 3x^(2) + 2y^(2) =5 from the point (1, 2) is-

If the tangents are drawn to the circle x^2+y^2=12 at the point where it meets the circle x^2+y^2-5x+3y-2=0, then find the point of intersection of these tangents.

Tangent are drawn from the point (3, 2) to the ellipse x^2+4y^2=9 . Find the equation to their chord of contact and the middle point of this chord of contact.

Tangents P Qa n dP R are drawn at the extremities of the chord of the ellipse (x^2)/(16)+(y^2)/9=1 , which get bisected at point T(1,1)dot Then find the point of intersection of the tangents.

Tangents PA and PB are drawn to x^2+y^2=a^2 from the point P(x_1, y_1)dot Then find the equation of the circumcircle of triangle P A Bdot

If the tangent at (1,1) on y^2=x(2-x)^2 meets the curve again at P , then find coordinates of P .

The line y=x+lambda is tangent to the ellipse 2x^(2)+3y^(2)=1 , then lambda is-

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. Find the locus of the point of intersection of tangents to the elli...

    Text Solution

    |

  2. Tangents are drawn from the points on the line x−y−5=0 to x^2+4y^2=4, ...

    Text Solution

    |

  3. If from a point P , tangents PQ and PR are drawn to the ellipse (x^2...

    Text Solution

    |

  4. Prove that the chord of contact of the ellipse (x^2)/(a^2)+(y^2)/(b^2)...

    Text Solution

    |

  5. Find the locus of a point P(alpha, beta) moving under the condition th...

    Text Solution

    |

  6. The locus of the point which is such that the chord of contact of ta...

    Text Solution

    |

  7. A point P moves such that the chord of contact of the pair of tangents...

    Text Solution

    |

  8. Find the length of the chord of the ellipse x^2/25+y^2/16=1, whose mid...

    Text Solution

    |

  9. Find the equation of the chord of the hyperbola 25x^(2)-16y^(2)=400 wh...

    Text Solution

    |

  10. The locus of the point which divides the double ordinates of the ell...

    Text Solution

    |

  11. Find the locus of the middle points of chord of an ellipse x^2/a^2 + ...

    Text Solution

    |

  12. Find the point on the hyperbola x^(2)-9y^(2)=9 where the line 5x+12y=9...

    Text Solution

    |

  13. If (5, 12) and (24, 7) are the foci of an ellipse passing through t...

    Text Solution

    |

  14. From any point P lying in the first quadrant on the ellipse (x^2)/(25)...

    Text Solution

    |

  15. If any line perpendicular to the transverse axis cuts the hyperbola (x...

    Text Solution

    |

  16. If the focal distance of an end of the minor axis of an ellipse (ref...

    Text Solution

    |

  17. Tangents are drawn to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1,(a > b), ...

    Text Solution

    |

  18. A normal to the hperbola (X^(2))/(a^(2))-(y^(2))/(b^(2))=1 meets the ...

    Text Solution

    |

  19. Find the eccentricity of an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 ...

    Text Solution

    |

  20. The slopes of the common tangents of the ellipse (x^2)/4+(y^2)/1=1 and...

    Text Solution

    |