Home
Class 12
MATHS
Find the point on the ellipse 16 x^2+11 ...

Find the point on the ellipse `16 x^2+11 y^2=256` where the common tangent to ti and the circle `x^2+y^2-2x=15` toch.

Promotional Banner

Topper's Solved these Questions

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 1|18 Videos

  • ELLIPSE

    ARIHANT MATHS|Exercise Exercise For Session 2|15 Videos

  • DY / DX AS A RATE MEASURER AND TANGENTS, NORMALS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|7 Videos

  • ESSENTIAL MATHEMATICAL TOOLS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|3 Videos

Similar Questions

Explore conceptually related problems

Find the point on the ellipse 16x^(2)+11y^(2)=256 where the common tangent to it and the circle x^(2)+y^(2)-2x=15 touch.

If the tangent at the point P(theta) to the ellipse 16x^(2)+11y^(2)=256 is also a tangent to the circle x^(2)+y^(2)-2x=15, then theta=(2 pi)/(3)( b )(4 pi)/(3) (c) (5 pi)/(3) (d) (pi)/(3)

If the tangent at the point (4 cos theta, (16)/(sqrt(11)) sin theta) to the ellipse 16x^(2) + 11y^(2) = 256 is also a tangent to the circle x^(2) + y^(2) - 2x - 15 = 0 , then the value of theta , is

The points on the ellipse x^(2)+4y^(2)=2, where the tangents are parallel to the line x-2y-6=0 are

if the tangent at the point (4 cos phi , (16)/(sqrt(11) )sin phi ) to the ellipse 16x^(2)+11y^(2) =256 Is also a tangent to the circle x^(2) +y^(2)-2x=15, then the value of phi is

Find the number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y=24

Find the points on the circle x^2+y^2=16 at which the tangents are perpendicular to the y-axis and the x-axis.

ARIHANT MATHS-ELLIPSE-Exercise (Questions Asked In Previous 13 Years Exam)
  1. Find the point on the ellipse 16 x^2+11 y^2=256 where the common ta...

    Text Solution

    |

  2. The muinimum area of the triangle formed by the tangent to (x^(2))/(a...

    Text Solution

    |

  3. Find the equation of the common tangent in the 1st quadrant to the cir...

    Text Solution

    |

  4. An ellipse has O B as the semi-minor axis, Fa n dF ' as its foci...

    Text Solution

    |

  5. In an ellipse, the distances between its foci is 6 and minor axis is 8...

    Text Solution

    |

  6. Let P(x1, y1) and Q(x2, y2), y1 < 0, y2 < 0, be the end points of the...

    Text Solution

    |

  7. A focus of an ellipse is at the origin. The directrix is the line x =4...

    Text Solution

    |

  8. The line passing through the extremity A of the major exis and extremi...

    Text Solution

    |

  9. The normal at a point P on the ellipse x^2+4y^2=16 meets the x-axis at...

    Text Solution

    |

  10. a triangle A B C with fixed base B C , the vertex A moves such that co...

    Text Solution

    |

  11. The conic having parametric representation x=sqrt3((1-t^(2)/(1+t^(2)))...

    Text Solution

    |

  12. The ellipse x^2+""4y^2=""4 is inscribed in a rectangle aligned with...

    Text Solution

    |

  13. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  14. Tangents are drawn from the point P(3,4) to the ellipse x^(2)/9+y^(2)/...

    Text Solution

    |

  15. Tangents are drawn from the point P(3,4) to the ellipse (x^2)/(9)+(y^2...

    Text Solution

    |

  16. Equation of the ellipse whose axes are the axes of coordinates and ...

    Text Solution

    |

  17. The ellipse E1:(x^2)/9+(y^2)/4=1 is inscribed in a rectangle R whose s...

    Text Solution

    |

  18. Statement 1: An equation of a common tangent to the parabola y^2=16...

    Text Solution

    |

  19. An ellipse is drawn by taking a diameter of the circle (x""""1)^2+""y^...

    Text Solution

    |

  20. the equation of the circle passing through the foci of the ellip...

    Text Solution

    |

  21. A vertical line passing through the point (h, 0) intersects the ellips...

    Text Solution

    |