Home
Class 11
MATHS
If the angle between the asymptotes of h...

If the angle between the asymptotes of hyperbola `(x^2)/(a^2)-(y^2)/(b^2)=1` is `120^0` and the product of perpendiculars drawn from the foci upon its any tangent is 9, then the locus of the point of intersection of perpendicular tangents of the hyperbola can be (a)`x^2+y^2=6` (b) `x^2+y^2=9` (c)`x^2+y^2=3` (d) `x^2+y^2=18`

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 locus of the point of intersection of perpendicular tangents to the hyperbola (x^(2))/(3)-(y^(2))/(1)=1 , is

The locus of the point of intersection of the perpendicular tangents to the ellipse 2x^(2)+3y^(2)=6 is

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

Find the locus of the point of intersection of the perpendicular tangents of the curve y^2+4y-6x-2=0 .

The locus of the point of intersection of the perpendicular tangents to the circle x^(2)+y^(2)=a^(2), x^(2)+y^(2)=b" is "

The locus of the point of intersection of perpendicular tangents to the circles x^(2)+y^(2)=a^(2) and x^(2)+y^(2)=b^(2) , is

Locus of the points of intersection of perpendicular tangents to x^(2)/9 - y^(2)/16 = 1 is

Locus of point of intersection of perpendicular tangents to the circle x^(2)+y^(2)-4x-6y-1=0 is

Locus of the point of intersection of perpendicular tangents drawn one of each of the circles x^(2)+y^(2)=8 and x^(2)+y^(2)=12 is

The locus of the perpendiculars drawn from the point (a, 0) on tangents to the circlo x^2+y^2=a^2 is

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. If tangents drawn from the point (a ,2) to the hyperbola (x^2)/(16)-(y...

    Text Solution

    |

  2. If the hyperbola x^2-y^2=4 is rotated by 45^0 in the anticlockwise dir...

    Text Solution

    |

  3. Find the point on the hyperbola x^2/24 - y^2/18 = 1 which is nearest t...

    Text Solution

    |

  4. The number of possible tangents which can be drawn to the curve 4x^2-9...

    Text Solution

    |

  5. If values of a, for which the line y=ax+2sqrt(5) touches the hyperbola...

    Text Solution

    |

  6. If the angle between the asymptotes of hyperbola (x^2)/(a^2)-(y^2)/(b^...

    Text Solution

    |

  7. The sides A Ca n dA B of a A B C touch the conjugate hyperbola of the...

    Text Solution

    |

  8. The tangent at a point P on the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 pa...

    Text Solution

    |

  9. If a x+b y=1 is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 , t...

    Text Solution

    |

  10. The locus of a point whose chord of contact with respect to the circle...

    Text Solution

    |

  11. Locus of the feet of the perpendiculars drawn from either foci on a va...

    Text Solution

    |

  12. The locus of the foot of the perpendicular from the center of the hy...

    Text Solution

    |

  13. If the line 2x+sqrt6y=2 touches the hyperbola x^2-2y^2=4, then the po...

    Text Solution

    |

  14. Which of the following is independent of alpha in the hyperbola (0 ...

    Text Solution

    |

  15. Consider the graphs of y = Ax^2 and y^2 + 3 = x^2 + 4y, where A is a p...

    Text Solution

    |

  16. Tangents are drawn from the point (alpha, beta) to the hyperbola 3x^(2...

    Text Solution

    |

  17. The eccentricity of the hyperbola |sqrt((x-3)^2+(y-2)^2)-sqrt((x+1)^2+...

    Text Solution

    |

  18. If y=m x+c is tangent to the hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1, havi...

    Text Solution

    |

  19. A(-2, 0) and B(2,0) are two fixed points and P 1s a point such that PA...

    Text Solution

    |

  20. Statement 1 : Given the base B C of the triangle and the radius ratio ...

    Text Solution

    |