Home
Class 11
MATHS
If alpha-beta= constant, then the locus ...

If `alpha-beta=` constant, then the locus of the point of intersection of tangents at `P(acosalpha,bsinalpha)` and `Q(acosbeta,bsinbeta)` to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` is: (a) a circle (b) a straight line (c) an ellipse (d) a parabola

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The line x cos alpha +y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

The line x cos alpha + y sin alpha =p is tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1. if

The locus of the point of intersection of the tangent at the endpoints of the focal chord of the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 ( b < a) (a) is a an circle (b) ellipse (c) hyperbola (d) pair of straight lines

The ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 and the straight line y=mx+c intersect in real points only if:

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle

The locus of the point which is such that the chord of contact of tangents drawn from it to the ellipse (x^2)/(a^2)+(y^2)/(b^2)=1 forms a triangle of constant area with the coordinate axes is a straight line (b) a hyperbola an ellipse (d) a circle

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , which make complementary angles with x - axis, is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

The locus of the point of intersection of tangents to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 at the points whose eccentric angles differ by pi//2 , is

Find the locus of the points of the intersection of tangents to ellipse x^(2)/a^(2)+y^(2)/b^(2)=1 which make an angle theta.

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. A rod of length 12 cm moves with its ends always touching the coord...

    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 alpha-beta= constant, then the locus of the point of intersection o...

    Text Solution

    |

  4. Two circles are given such that one is completely lying inside the ...

    Text Solution

    |

  5. How many real tangents can be drawn from the point (4, 3) to the hy...

    Text Solution

    |

  6. For an ellipse x^2/9+y^2/4=1 with vertices A and A', drawn at the poin...

    Text Solution

    |

  7. The first artificial satellite to orbit the earth was Sputnik I. It...

    Text Solution

    |

  8. Which of the following can be slope of tangent to the hyperbola 4x^2-y...

    Text Solution

    |

  9. A tangent to the ellipes x^2/25+y^2/16=1 at any points meet the line x...

    Text Solution

    |

  10. Tangents are drawn to the hyperbola 3x^2-2y^2=25 from the point (0,5/2...

    Text Solution

    |

  11. Suppose that the foci of the ellipse (x^2)/9+(y^2)/5=1 are (f1,0)a n d...

    Text Solution

    |

  12. From the center C of hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , perpendicul...

    Text Solution

    |

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

    Text Solution

    |

  14. A common tangent to 9x^2-16y^2 = 144 and x^2 + y^2 = 9, is

    Text Solution

    |

  15. Find the equation of tangents to the curve 4x^2-9y^2=1 which are paral...

    Text Solution

    |

  16. Find the equation of the locus of the middle points of the chords of ...

    Text Solution

    |

  17. Find the angle between the asymptotes of the hyperbola (x^2)/(16)-(y^2...

    Text Solution

    |

  18. Match the following: List - I, List - II Let y(x)=cos(3cos^(-1)x) ...

    Text Solution

    |

  19. If a hyperbola passing through the origin has 3x-4y-1=0 and 4x-3y-6=0 ...

    Text Solution

    |

  20. Let E1 and E2 be two ellipse whose centers are at the origin. The maj...

    Text Solution

    |