Home
Class 11
MATHS
The number of points on the ellipse (x^2...

The number of points on the ellipse `(x^2)/(50)+(y^2)/(20)=1` from which a pair of perpendicular tangents is drawn to the ellipse `(x^2)/(16)+(y^2)/9=1` is 0 (b) 2 (c) 1 (d) 4

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

The number of points on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 from which mutually perpendicular tangents can be drawn to the circle x^2+y^2=a^2 is/are (a) 0 (b) 2 (c) 3 (d) 4

Two perpendicular tangents drawn to the ellipse (x^2)/(25)+(y^2)/(16)=1 intersect on the curve.

Number of points from where perpendicular tangents can be drawn to the curve x^2/16-y^2/25=1 is

On which curve does the perpendicular tangents drawn to the hyperbola (x^(2))/(25)-(y^(2))/(16)=1 intersect?

The locus of the point of intersection of two perpendicular tangents to the ellipse (x^(2))/(9) +(y^(2))/(4)=1 is -

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

Find the points on the ellipse (x^2)/4+(y^2)/9=1 on which the normals are parallel to the line 2x-y=1.

Find the number of rational points on the ellipse (x^2)/9+(y^2)/4=1.

Find the equations of the tangents ot the ellipse x^(2)+3y^(2)=4 which are perpendicular to x+2y+7=0 .

Find the points on the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 such that the tangent at each point makes equal angles with the axes.

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

    Text Solution

    |

  2. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

    Text Solution

    |

  3. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

    Text Solution

    |

  4. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  5. The equation of the ellipse whose axes are coincident with the coor...

    Text Solution

    |

  6. Tangent are drawn to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 parallel ...

    Text Solution

    |

  7. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

    Text Solution

    |

  8. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

    Text Solution

    |

  9. Let p be the perpendicular distance from the centre C of the hyperbola...

    Text Solution

    |

  10. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

    Text Solution

    |

  11. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

    Text Solution

    |

  12. Let any double ordinate PNP' of the hyperbola (x^(2))/(25)-(y^(2))/(16...

    Text Solution

    |

  13. For hyperbola whose center is at (1, 2) and the asymptotes are paralle...

    Text Solution

    |

  14. If from a point P(0,alpha) , two normals other than the axes are drawn...

    Text Solution

    |

  15. The chord of contact of a point P w.r.t a hyperbola and its auxiliary ...

    Text Solution

    |

  16. If the mid-point of a chord of the ellipse (x^2)/(16)+(y^2)/(25)=1 (0,...

    Text Solution

    |

  17. Let the distance between a focus and the corresponding directrix of an...

    Text Solution

    |

  18. If S=0 is the equation of the hyperbola x^2+4x y+3y^2-4x+2y+1=0 , then...

    Text Solution

    |

  19. Suppose xa n dy are real numbers and that x^2+9y^2-4x+6y+4=0 . Then th...

    Text Solution

    |

  20. A hyperbola passes through (2, 3) and has asymptotes 3x-4y+5=0 and 12x...

    Text Solution

    |